351465465120 has 192 divisors, whose sum is σ = 1380300880896. Its totient is φ = 73031777280.

The previous prime is 351465465101. The next prime is 351465465217. The reversal of 351465465120 is 21564564153.

It is a super-2 number, since 2×351465465120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4717714 + ... + 4791633.

It is an arithmetic number, because the mean of its divisors is an integer number (7189067088).

Almost surely, 2^351465465120 is an apocalyptic number.

351465465120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351465465120 is an abundant number, since it is smaller than the sum of its proper divisors (1028835415776).

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

351465465120 is a wasteful number, since it uses less digits than its factorization.

351465465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509383 (or 9509375 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 351465465120 in words is "three hundred fifty-one billion, four hundred sixty-five million, four hundred sixty-five thousand, one hundred twenty".