49144815936 has 224 divisors, whose sum is σ = 146763638400. Its totient is φ = 16124313600.

The previous prime is 49144815931. The next prime is 49144815947. The reversal of 49144815936 is 63951844194.

49144815936 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 48 + 1 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49144815931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33683175 + ... + 33684633.

Almost surely, 2^49144815936 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 49144815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73381819200).

49144815936 is an abundant number, since it is smaller than the sum of its proper divisors (97618822464).

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

49144815936 is a wasteful number, since it uses less digits than its factorization.

49144815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1758 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 49144815936 in words is "forty-nine billion, one hundred forty-four million, eight hundred fifteen thousand, nine hundred thirty-six".