123828456591000 has 3072 divisors, whose sum is σ = 558582635520000. Its totient is φ = 25184162304000.

The previous prime is 123828456590999. The next prime is 123828456591061. The reversal of 123828456591000 is 195654828321.

123828456591000 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 2 + 8 + 45 + 6 + 591 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 26971998705 + ... + 26972003295.

It is an arithmetic number, because the mean of its divisors is an integer number (181830285000).

Almost surely, 2^{123828456591000} is an apocalyptic number.

123828456591000 is a gapful number since it is divisible by the number (10) 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 123828456591000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279291317760000).

123828456591000 is an abundant number, since it is smaller than the sum of its proper divisors (434754178929000).

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

123828456591000 is a wasteful number, since it uses less digits than its factorization.

123828456591000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 123828456591000 in words is "one hundred twenty-three trillion, eight hundred twenty-eight billion, four hundred fifty-six million, five hundred ninety-one thousand".