336098161244160 has 4608 divisors, whose sum is σ = 1500787491840000. Its totient is φ = 71972056203264.

The previous prime is 336098161244147. The next prime is 336098161244249. The reversal of 336098161244160 is 61442161890633.

It is a happy number.

336098161244160 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 9 + 8 + 1 + 612 + 4 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×336098161244160² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 336098161244097 and 336098161244106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 915798804297 + ... + 915798804663.

It is an arithmetic number, because the mean of its divisors is an integer number (325691730000).

Almost surely, 2^{336098161244160} is an apocalyptic number.

336098161244160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336098161244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750393745920000).

336098161244160 is an abundant number, since it is smaller than the sum of its proper divisors (1164689330595840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336098161244160 is an equidigital number, since it uses as much as digits as its factorization.

336098161244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 336098161244160 in words is "three hundred thirty-six trillion, ninety-eight billion, one hundred sixty-one million, two hundred forty-four thousand, one hundred sixty".