123553986548832 has 576 divisors, whose sum is σ = 433966740480000. Its totient is φ = 33215511490560.

The previous prime is 123553986548831. The next prime is 123553986548851. The reversal of 123553986548832 is 238845689355321.

123553986548832 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 39 + 86 + 5 + 488 + 32 = 666.

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 (123553986548831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8059087407 + ... + 8059102737.

It is an arithmetic number, because the mean of its divisors is an integer number (753414480000).

Almost surely, 2^{123553986548832} is an apocalyptic number.

123553986548832 is a gapful number since it is divisible by the number (12) 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 123553986548832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216983370240000).

123553986548832 is an abundant number, since it is smaller than the sum of its proper divisors (310412753931168).

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

123553986548832 is a wasteful number, since it uses less digits than its factorization.

123553986548832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20184 (or 20159 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 123553986548832 in words is "one hundred twenty-three trillion, five hundred fifty-three billion, nine hundred eighty-six million, five hundred forty-eight thousand, eight hundred thirty-two".