49176857225664 has 2688 divisors, whose sum is σ = 192838620672000. Its totient is φ = 12325425315840.

The previous prime is 49176857225653. The next prime is 49176857225687. The reversal of 49176857225664 is 46652275867194.

49176857225664 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 6 + 8 + 57 + 2 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49176857225592 and 49176857225601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 175006609204 + ... + 175006609484.

Almost surely, 2^{49176857225664} 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 49176857225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96419310336000).

49176857225664 is an abundant number, since it is smaller than the sum of its proper divisors (143661763446336).

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

49176857225664 is a wasteful number, since it uses less digits than its factorization.

49176857225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 49176857225664 in words is "forty-nine trillion, one hundred seventy-six billion, eight hundred fifty-seven million, two hundred twenty-five thousand, six hundred sixty-four".