124916317344 has 768 divisors, whose sum is σ = 472103976960. Its totient is φ = 31248322560.

The previous prime is 124916317319. The next prime is 124916317367. The reversal of 124916317344 is 443713619421.

It is a happy number.

124916317344 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 1 + 631 + 7 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 124916317344.

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 127 ways as a sum of consecutive naturals, for example, 129178749 + ... + 129179715.

It is an arithmetic number, because the mean of its divisors is an integer number (614718720).

Almost surely, 2^124916317344 is an apocalyptic number.

124916317344 is a gapful number since it is divisible by the number (14) 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 124916317344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236051988480).

124916317344 is an abundant number, since it is smaller than the sum of its proper divisors (347187659616).

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

124916317344 is a wasteful number, since it uses less digits than its factorization.

124916317344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 124916317344 in words is "one hundred twenty-four billion, nine hundred sixteen million, three hundred seventeen thousand, three hundred forty-four".