351910788768 has 864 divisors, whose sum is σ = 1319444380800. Its totient is φ = 88194355200.

The previous prime is 351910788767. The next prime is 351910788773. The reversal of 351910788768 is 867887019153.

351910788768 is a `hidden beast` number, since 3 + 519 + 107 + 8 + 8 + 7 + 6 + 8 = 666.

351910788768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351910788767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1044245496 + ... + 1044245832.

It is an arithmetic number, because the mean of its divisors is an integer number (1527134700).

Almost surely, 2^351910788768 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 351910788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659722190400).

351910788768 is an abundant number, since it is smaller than the sum of its proper divisors (967533592032).

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

351910788768 is a wasteful number, since it uses less digits than its factorization.

351910788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 351910788768 in words is "three hundred fifty-one billion, nine hundred ten million, seven hundred eighty-eight thousand, seven hundred sixty-eight".