49137979968 has 1260 divisors, whose sum is σ = 199345149696. Its totient is φ = 11701324800.

The previous prime is 49137979951. The next prime is 49137979973. The reversal of 49137979968 is 86997973194.

49137979968 is a `hidden beast` number, since 491 + 3 + 7 + 9 + 79 + 9 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49137979896 and 49137979905.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1585096113 + ... + 1585096143.

Almost surely, 2^49137979968 is an apocalyptic number.

49137979968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49137979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99672574848).

49137979968 is an abundant number, since it is smaller than the sum of its proper divisors (150207169728).

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

49137979968 is a wasteful number, since it uses less digits than its factorization.

49137979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 49137979968 in words is "forty-nine billion, one hundred thirty-seven million, nine hundred seventy-nine thousand, nine hundred sixty-eight".