49656431879824 has 405 divisors, whose sum is σ = 124667154475689. Its totient is φ = 19090442595840.

The previous prime is 49656431879773. The next prime is 49656431879837. The reversal of 49656431879824 is 42897813465694.

The square root of 49656431879824 is 7046732.

It is a perfect power (a square), and thus also a powerful number.

49656431879824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29168424608400 + 20488007271424 = 5400780^2 + 4526368^2 .

It is a super-2 number, since 2×49656431879824² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

Its product of digits (2508226560) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 297343903389 + ... + 297343903555.

Almost surely, 2^{49656431879824} is an apocalyptic number.

49656431879824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

49656431879824 is the 7046732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49656431879824

49656431879824 is an abundant number, since it is smaller than the sum of its proper divisors (75010722595865).

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

49656431879824 is a wasteful number, since it uses less digits than its factorization.

49656431879824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 324 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 76.

The spelling of 49656431879824 in words is "forty-nine trillion, six hundred fifty-six billion, four hundred thirty-one million, eight hundred seventy-nine thousand, eight hundred twenty-four".