354665400804 has 144 divisors (see below), whose sum is σ = 1067677962624. Its totient is φ = 97848000000.

The previous prime is 354665400797. The next prime is 354665400821. The reversal of 354665400804 is 408004566453.

354665400804 is a `hidden beast` number, since 3 + 546 + 65 + 40 + 0 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 354665400804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96072 + ... + 847679.

It is an arithmetic number, because the mean of its divisors is an integer number (7414430296).

Almost surely, 2^354665400804 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 354665400804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533838981312).

354665400804 is an abundant number, since it is smaller than the sum of its proper divisors (713012561820).

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

354665400804 is a wasteful number, since it uses less digits than its factorization.

354665400804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943858 (or 943853 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 354665400804 in words is "three hundred fifty-four billion, six hundred sixty-five million, four hundred thousand, eight hundred four".