351413560201000 has 128 divisors (see below), whose sum is σ = 897765491900160. Its totient is φ = 127686676128000.

The previous prime is 351413560200991. The next prime is 351413560201027. The reversal of 351413560201000 is 102065314153.

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, 1538509 + ... + 26555491.

It is an arithmetic number, because the mean of its divisors is an integer number (7013792905470).

Almost surely, 2^{351413560201000} 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 351413560201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448882745950080).

351413560201000 is an abundant number, since it is smaller than the sum of its proper divisors (546351931699160).

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

351413560201000 is a wasteful number, since it uses less digits than its factorization.

351413560201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25018292 (or 25018278 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 351413560201000 in words is "three hundred fifty-one trillion, four hundred thirteen billion, five hundred sixty million, two hundred one thousand".