49415792832 has 252 divisors, whose sum is σ = 165259420560. Its totient is φ = 14076582912.

The previous prime is 49415792827. The next prime is 49415792873. The reversal of 49415792832 is 23829751494.

49415792832 is a `hidden beast` number, since 4 + 9 + 41 + 579 + 28 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10129978 + ... + 10134854.

Almost surely, 2^49415792832 is an apocalyptic number.

49415792832 is a gapful number since it is divisible by the number (42) 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 49415792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82629710280).

49415792832 is an abundant number, since it is smaller than the sum of its proper divisors (115843627728).

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

49415792832 is a wasteful number, since it uses less digits than its factorization.

49415792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5248 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

It can be divided in two parts, 49 and 415792832, that added together give a square (415792881 = 20391²).

The spelling of 49415792832 in words is "forty-nine billion, four hundred fifteen million, seven hundred ninety-two thousand, eight hundred thirty-two".