345940996484160 has 1344 divisors, whose sum is σ = 1566972058189824. Its totient is φ = 67947160780800.

The previous prime is 345940996484113. The next prime is 345940996484221. The reversal of 345940996484160 is 61484699049543.

It is a happy number.

345940996484160 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 40 + 9 + 96 + 484 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×345940996484160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295020942 + ... + 296191218.

Almost surely, 2^{345940996484160} is an apocalyptic number.

345940996484160 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 345940996484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783486029094912).

345940996484160 is an abundant number, since it is smaller than the sum of its proper divisors (1221031061705664).

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

345940996484160 is a wasteful number, since it uses less digits than its factorization.

345940996484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170392 (or 1170379 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 345940996484160 in words is "three hundred forty-five trillion, nine hundred forty billion, nine hundred ninety-six million, four hundred eighty-four thousand, one hundred sixty".