345925767718656 has 216 divisors, whose sum is σ = 1021033062948080. Its totient is φ = 112602319257600.

The previous prime is 345925767718621. The next prime is 345925767718667. The reversal of 345925767718656 is 656817767529543.

345925767718656 is a `hidden beast` number, since 3 + 4 + 592 + 5 + 7 + 6 + 7 + 7 + 18 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10681896 + ... + 28389336.

Almost surely, 2^{345925767718656} is an apocalyptic number.

345925767718656 is a gapful number since it is divisible by the number (36) 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 345925767718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510516531474040).

345925767718656 is an abundant number, since it is smaller than the sum of its proper divisors (675107295229424).

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

345925767718656 is a wasteful number, since it uses less digits than its factorization.

345925767718656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707663 (or 17707646 counting only the distinct ones).

The product of its digits is 16003008000, while the sum is 81.

The spelling of 345925767718656 in words is "three hundred forty-five trillion, nine hundred twenty-five billion, seven hundred sixty-seven million, seven hundred eighteen thousand, six hundred fifty-six".