124991064576 has 640 divisors, whose sum is σ = 446885683200. Its totient is φ = 33721712640.

The previous prime is 124991064547. The next prime is 124991064607. The reversal of 124991064576 is 675460199421.

124991064576 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 9 + 1 + 0 + 64 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 198083781 + ... + 198084411.

It is an arithmetic number, because the mean of its divisors is an integer number (698258880).

Almost surely, 2^124991064576 is an apocalyptic number.

124991064576 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 124991064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223442841600).

124991064576 is an abundant number, since it is smaller than the sum of its proper divisors (321894618624).

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

124991064576 is an equidigital number, since it uses as much as digits as its factorization.

124991064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 124991064576 in words is "one hundred twenty-four billion, nine hundred ninety-one million, sixty-four thousand, five hundred seventy-six".