354047928864 has 144 divisors (see below), whose sum is σ = 1085753960928. Its totient is φ = 100722091008.

The previous prime is 354047928803. The next prime is 354047928877. The reversal of 354047928864 is 468829740453.

It is a junction number, because it is equal to n+sod(n) for n = 354047928798 and 354047928807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934519 + ... + 1257545.

It is an arithmetic number, because the mean of its divisors is an integer number (7539958062).

Almost surely, 2^354047928864 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 354047928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542876980464).

354047928864 is an abundant number, since it is smaller than the sum of its proper divisors (731706032064).

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

354047928864 is a wasteful number, since it uses less digits than its factorization.

354047928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323287 (or 323272 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 354047928864 in words is "three hundred fifty-four billion, forty-seven million, nine hundred twenty-eight thousand, eight hundred sixty-four".