49601328768 has 48 divisors (see below), whose sum is σ = 142732993650. Its totient is φ = 16533775872.

The previous prime is 49601328727. The next prime is 49601328773. The reversal of 49601328768 is 86782310694.

49601328768 is a `hidden beast` number, since 4 + 9 + 601 + 3 + 28 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49422625344 + 178703424 = 222312^2 + 13368^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21527203 + ... + 21529506.

Almost surely, 2^49601328768 is an apocalyptic number.

49601328768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49601328768 is an abundant number, since it is smaller than the sum of its proper divisors (93131664882).

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

49601328768 is a wasteful number, since it uses less digits than its factorization.

49601328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43056729 (or 43056714 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49601328768 in words is "forty-nine billion, six hundred one million, three hundred twenty-eight thousand, seven hundred sixty-eight".