48863553643728 has 240 divisors, whose sum is σ = 149110427321856. Its totient is φ = 15460751180160.

The previous prime is 48863553643687. The next prime is 48863553643733. The reversal of 48863553643728 is 82734635536884.

48863553643728 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 3 + 553 + 6 + 43 + 7 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9628951 + ... + 13800137.

Almost surely, 2^{48863553643728} is an apocalyptic number.

48863553643728 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 48863553643728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74555213660928).

48863553643728 is an abundant number, since it is smaller than the sum of its proper divisors (100246873678128).

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

48863553643728 is a wasteful number, since it uses less digits than its factorization.

48863553643728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171364 (or 4171346 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

The spelling of 48863553643728 in words is "forty-eight trillion, eight hundred sixty-three billion, five hundred fifty-three million, six hundred forty-three thousand, seven hundred twenty-eight".