49615087638528 has 384 divisors, whose sum is σ = 149819814144000. Its totient is φ = 16220661350400.

The previous prime is 49615087638521. The next prime is 49615087638563. The reversal of 49615087638528 is 82583678051694.

49615087638528 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 508 + 7 + 63 + 8 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49615087638521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659588376 + ... + 659663592.

It is an arithmetic number, because the mean of its divisors is an integer number (390155766000).

It is a 1-persistent number, because it is pandigital, but 2⋅49615087638528 = 99230175277056 is not.

Almost surely, 2^{49615087638528} is an apocalyptic number.

49615087638528 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 49615087638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74909907072000).

49615087638528 is an abundant number, since it is smaller than the sum of its proper divisors (100204726505472).

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

49615087638528 is a wasteful number, since it uses less digits than its factorization.

49615087638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75478 (or 75452 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 49615087638528 in words is "forty-nine trillion, six hundred fifteen billion, eighty-seven million, six hundred thirty-eight thousand, five hundred twenty-eight".