48642612564 has 192 divisors, whose sum is σ = 143508879360. Its totient is φ = 12480652800.

The previous prime is 48642612553. The next prime is 48642612587. The reversal of 48642612564 is 46521624684.

It is a super-2 number, since 2×48642612564² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12629239 + ... + 12633089.

It is an arithmetic number, because the mean of its divisors is an integer number (747442080).

Almost surely, 2^48642612564 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 48642612564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71754439680).

48642612564 is an abundant number, since it is smaller than the sum of its proper divisors (94866266796).

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

48642612564 is a wasteful number, since it uses less digits than its factorization.

48642612564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4188 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 48642612564 in words is "forty-eight billion, six hundred forty-two million, six hundred twelve thousand, five hundred sixty-four".