48139735644 has 288 divisors, whose sum is σ = 169438004736. Its totient is φ = 11541761280.

The previous prime is 48139735621. The next prime is 48139735649. The reversal of 48139735644 is 44653793184.

48139735644 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 9 + 73 + 564 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48139735649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948234 + ... + 997710.

Almost surely, 2^48139735644 is an apocalyptic number.

48139735644 is a gapful number since it is divisible by the number (44) 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 48139735644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84719002368).

48139735644 is an abundant number, since it is smaller than the sum of its proper divisors (121298269092).

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

48139735644 is a wasteful number, since it uses less digits than its factorization.

48139735644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49527 (or 49513 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 48139735644 in words is "forty-eight billion, one hundred thirty-nine million, seven hundred thirty-five thousand, six hundred forty-four".