124874950991616 has 3456 divisors, whose sum is σ = 495652405248000. Its totient is φ = 29988356751360.

The previous prime is 124874950991579. The next prime is 124874950991629. The reversal of 124874950991616 is 616199059478421.

124874950991616 is a `hidden beast` number, since 1 + 2 + 48 + 7 + 495 + 0 + 9 + 91 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 340258721865 + ... + 340258722231.

Almost surely, 2^{124874950991616} is an apocalyptic number.

124874950991616 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 124874950991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247826202624000).

124874950991616 is an abundant number, since it is smaller than the sum of its proper divisors (370777454256384).

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

124874950991616 is a wasteful number, since it uses less digits than its factorization.

124874950991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 124874950991616 in words is "one hundred twenty-four trillion, eight hundred seventy-four billion, nine hundred fifty million, nine hundred ninety-one thousand, six hundred sixteen".