345172118645760 has 1408 divisors, whose sum is σ = 1352939277680640. Its totient is φ = 73315396878336.

The previous prime is 345172118645749. The next prime is 345172118645771. The reversal of 345172118645760 is 67546811271543.

It is an interprime number because it is at equal distance from previous prime (345172118645749) and next prime (345172118645771).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 345172118645694 and 345172118645703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67588037127 + ... + 67588042233.

Almost surely, 2^{345172118645760} is an apocalyptic number.

345172118645760 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 345172118645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676469638840320).

345172118645760 is an abundant number, since it is smaller than the sum of its proper divisors (1007767159034880).

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

345172118645760 is a wasteful number, since it uses less digits than its factorization.

345172118645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 345172118645760 in words is "three hundred forty-five trillion, one hundred seventy-two billion, one hundred eighteen million, six hundred forty-five thousand, seven hundred sixty".