48913439984640 has 4224 divisors, whose sum is σ = 232376414699520. Its totient is φ = 9564703948800.

The previous prime is 48913439984609. The next prime is 48913439984711. The reversal of 48913439984640 is 4648993431984.

It is a happy number.

48913439984640 is a `hidden beast` number, since 4 + 8 + 91 + 34 + 399 + 84 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×48913439984640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174069181300 + ... + 174069181580.

Almost surely, 2^{48913439984640} is an apocalyptic number.

48913439984640 is a gapful number since it is divisible by the number (40) 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 48913439984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116188207349760).

48913439984640 is an abundant number, since it is smaller than the sum of its proper divisors (183462974714880).

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

48913439984640 is a wasteful number, since it uses less digits than its factorization.

48913439984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 48913439984640 in words is "forty-eight trillion, nine hundred thirteen billion, four hundred thirty-nine million, nine hundred eighty-four thousand, six hundred forty".