123151036732416 has 440 divisors, whose sum is σ = 458497360766016. Its totient is φ = 31987280609280.

The previous prime is 123151036732391. The next prime is 123151036732421. The reversal of 123151036732416 is 614237630151321.

123151036732416 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 510 + 3 + 67 + 32 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3254541 + ... + 16027916.

Almost surely, 2^{123151036732416} is an apocalyptic number.

123151036732416 is a gapful number since it is divisible by the number (16) 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 123151036732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229248680383008).

123151036732416 is an abundant number, since it is smaller than the sum of its proper divisors (335346324033600).

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

123151036732416 is a wasteful number, since it uses less digits than its factorization.

123151036732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19282507 (or 19282480 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 123151036732416 its reverse (614237630151321), we get a palindrome (737388666883737).

The spelling of 123151036732416 in words is "one hundred twenty-three trillion, one hundred fifty-one billion, thirty-six million, seven hundred thirty-two thousand, four hundred sixteen".