354493891584 has 704 divisors, whose sum is σ = 1267502400000. Its totient is φ = 97715552256.

The previous prime is 354493891573. The next prime is 354493891597. The reversal of 354493891584 is 485198394453.

354493891584 is a `hidden beast` number, since 3 + 5 + 4 + 49 + 3 + 8 + 9 + 1 + 584 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275014012 + ... + 275015300.

Almost surely, 2^354493891584 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 354493891584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633751200000).

354493891584 is an abundant number, since it is smaller than the sum of its proper divisors (913008508416).

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

354493891584 is a wasteful number, since it uses less digits than its factorization.

354493891584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1330 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 354493891584 in words is "three hundred fifty-four billion, four hundred ninety-three million, eight hundred ninety-one thousand, five hundred eighty-four".