345635919974016 has 960 divisors, whose sum is σ = 1264141573516800. Its totient is φ = 93318975590400.

The previous prime is 345635919973943. The next prime is 345635919974039. The reversal of 345635919974016 is 610479919536543.

345635919974016 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 359 + 199 + 74 + 0 + 16 = 666.

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 119 ways as a sum of consecutive naturals, for example, 692198041 + ... + 692697191.

It is an arithmetic number, because the mean of its divisors is an integer number (1316814139080).

Almost surely, 2^{345635919974016} is an apocalyptic number.

345635919974016 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 345635919974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632070786758400).

345635919974016 is an abundant number, since it is smaller than the sum of its proper divisors (918505653542784).

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

345635919974016 is a wasteful number, since it uses less digits than its factorization.

345635919974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499267 (or 499239 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 345635919974016 in words is "three hundred forty-five trillion, six hundred thirty-five billion, nine hundred nineteen million, nine hundred seventy-four thousand, sixteen".