345915202090176 has 560 divisors, whose sum is σ = 1143185158684800. Its totient is φ = 102781624246272.

The previous prime is 345915202090169. The next prime is 345915202090189. The reversal of 345915202090176 is 671090202519543.

345915202090176 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 1 + 520 + 20 + 90 + 1 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6327651195 + ... + 6327705861.

It is an arithmetic number, because the mean of its divisors is an integer number (2041402069080).

Almost surely, 2^{345915202090176} is an apocalyptic number.

345915202090176 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 345915202090176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571592579342400).

345915202090176 is an abundant number, since it is smaller than the sum of its proper divisors (797269956594624).

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

345915202090176 is a wasteful number, since it uses less digits than its factorization.

345915202090176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58506 (or 58487 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 345915202090176 in words is "three hundred forty-five trillion, nine hundred fifteen billion, two hundred two million, ninety thousand, one hundred seventy-six".