336249948919680 has 384 divisors, whose sum is σ = 1204171319070720. Its totient is φ = 89662630053888.

The previous prime is 336249948919657. The next prime is 336249948919691. The reversal of 336249948919680 is 86919849942633.

336249948919680 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 49 + 9 + 489 + 1 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×336249948919680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 336249948919680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5396979409 + ... + 5397041711.

It is an arithmetic number, because the mean of its divisors is an integer number (3135862810080).

Almost surely, 2^{336249948919680} is an apocalyptic number.

336249948919680 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 336249948919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602085659535360).

336249948919680 is an abundant number, since it is smaller than the sum of its proper divisors (867921370151040).

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

336249948919680 is an equidigital number, since it uses as much as digits as its factorization.

336249948919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97040 (or 97016 counting only the distinct ones).

The product of its (nonzero) digits is 4353564672, while the sum is 81.

The spelling of 336249948919680 in words is "three hundred thirty-six trillion, two hundred forty-nine billion, nine hundred forty-eight million, nine hundred nineteen thousand, six hundred eighty".