351274869504 has 720 divisors, whose sum is σ = 1188134603040. Its totient is φ = 102478970880.

The previous prime is 351274869503. The next prime is 351274869509. The reversal of 351274869504 is 405968472153.

It is a happy number.

351274869504 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 74 + 8 + 69 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (351274869503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 408934227 + ... + 408935085.

It is a 1-persistent number, because it is pandigital, but 2⋅351274869504 = 702549739008 is not.

Almost surely, 2^351274869504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351274869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594067301520).

351274869504 is an abundant number, since it is smaller than the sum of its proper divisors (836859733536).

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

351274869504 is a wasteful number, since it uses less digits than its factorization.

351274869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 351274869504 in words is "three hundred fifty-one billion, two hundred seventy-four million, eight hundred sixty-nine thousand, five hundred four".