123516710460 has 864 divisors, whose sum is σ = 467302058496. Its totient is φ = 27200448000.

The previous prime is 123516710437. The next prime is 123516710479. The reversal of 123516710460 is 64017615321.

123516710460 is a `hidden beast` number, since 1 + 2 + 35 + 167 + 1 + 0 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 817991385 + ... + 817991535.

It is an arithmetic number, because the mean of its divisors is an integer number (540858864).

Almost surely, 2^123516710460 is an apocalyptic number.

123516710460 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 123516710460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233651029248).

123516710460 is an abundant number, since it is smaller than the sum of its proper divisors (343785348036).

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

123516710460 is a wasteful number, since it uses less digits than its factorization.

123516710460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 123516710460 in words is "one hundred twenty-three billion, five hundred sixteen million, seven hundred ten thousand, four hundred sixty".