123649579470528 has 448 divisors, whose sum is σ = 396009059136000. Its totient is φ = 37684034777088.

The previous prime is 123649579470517. The next prime is 123649579470533. The reversal of 123649579470528 is 825074975946321.

123649579470528 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 4 + 9 + 5 + 7 + 94 + 7 + 0 + 528 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2234616750 + ... + 2234672082.

It is a 1-persistent number, because it is pandigital, but 2⋅123649579470528 = 247299158941056 is not.

Almost surely, 2^{123649579470528} is an apocalyptic number.

123649579470528 is a gapful number since it is divisible by the number (18) 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 123649579470528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198004529568000).

123649579470528 is an abundant number, since it is smaller than the sum of its proper divisors (272359479665472).

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

123649579470528 is a wasteful number, since it uses less digits than its factorization.

123649579470528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57749 (or 57733 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 123649579470528 in words is "one hundred twenty-three trillion, six hundred forty-nine billion, five hundred seventy-nine million, four hundred seventy thousand, five hundred twenty-eight".