49509645412032 has 840 divisors, whose sum is σ = 171180964500480. Its totient is φ = 14101177559040.

The previous prime is 49509645411991. The next prime is 49509645412069. The reversal of 49509645412032 is 23021454690594.

49509645412032 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 9 + 64 + 541 + 2 + 0 + 32 = 666.

49509645412032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49509645412032.

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 119 ways as a sum of consecutive naturals, for example, 624616819 + ... + 624696077.

Almost surely, 2^{49509645412032} 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 49509645412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85590482250240).

49509645412032 is an abundant number, since it is smaller than the sum of its proper divisors (121671319088448).

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

49509645412032 is a wasteful number, since it uses less digits than its factorization.

49509645412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79363 (or 79331 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 49509645412032 in words is "forty-nine trillion, five hundred nine billion, six hundred forty-five million, four hundred twelve thousand, thirty-two".