48745682399232 has 1872 divisors, whose sum is σ = 183609990708480. Its totient is φ = 12511543689216.

The previous prime is 48745682399231. The next prime is 48745682399327. The reversal of 48745682399232 is 23299328654784.

48745682399232 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 568 + 2 + 39 + 9 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×48745682399232² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745682399231) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 587297378263 + ... + 587297378345.

Almost surely, 2^{48745682399232} is an apocalyptic number.

48745682399232 is a gapful number since it is divisible by the number (42) 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 48745682399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91804995354240).

48745682399232 is an abundant number, since it is smaller than the sum of its proper divisors (134864308309248).

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

48745682399232 is an equidigital number, since it uses as much as digits as its factorization.

48745682399232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 175 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 48745682399232 in words is "forty-eight trillion, seven hundred forty-five billion, six hundred eighty-two million, three hundred ninety-nine thousand, two hundred thirty-two".