57046434408 has 160 divisors (see below), whose sum is σ = 160935730560. Its totient is φ = 18878883840.

The previous prime is 57046434377. The next prime is 57046434433. The reversal of 57046434408 is 80443464075.

57046434408 is a `hidden beast` number, since 570 + 4 + 6 + 4 + 34 + 40 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98867016 + ... + 98867592.

It is an arithmetic number, because the mean of its divisors is an integer number (1005848316).

Almost surely, 2^57046434408 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 57046434408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467865280).

57046434408 is an abundant number, since it is smaller than the sum of its proper divisors (103889296152).

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

57046434408 is a wasteful number, since it uses less digits than its factorization.

57046434408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 57046434408 in words is "fifty-seven billion, forty-six million, four hundred thirty-four thousand, four hundred eight".