48536993995776 has 1584 divisors, whose sum is σ = 172749486768768. Its totient is φ = 13493064499200.

The previous prime is 48536993995769. The next prime is 48536993995801. The reversal of 48536993995776 is 67759939963584.

48536993995776 is a `hidden beast` number, since 4 + 8 + 5 + 369 + 93 + 9 + 95 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×48536993995776² (a number of 28 digits) contains 22 as substring.

Its product of digits (83329948800) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146637443931 + ... + 146637444261.

Almost surely, 2^{48536993995776} 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 48536993995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86374743384384).

48536993995776 is an abundant number, since it is smaller than the sum of its proper divisors (124212492772992).

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

48536993995776 is a wasteful number, since it uses less digits than its factorization.

48536993995776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 677 counting only the distinct ones).

The product of its digits is 83329948800, while the sum is 90.

The spelling of 48536993995776 in words is "forty-eight trillion, five hundred thirty-six billion, nine hundred ninety-three million, nine hundred ninety-five thousand, seven hundred seventy-six".