125563514701608 has 160 divisors (see below), whose sum is σ = 367090426992960. Its totient is φ = 40023259246080.

The previous prime is 125563514701607. The next prime is 125563514701643. The reversal of 125563514701608 is 806107415365521.

125563514701608 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 6 + 3 + 5 + 1 + 470 + 160 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125563514701601) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 50823216 + ... + 53236512.

It is an arithmetic number, because the mean of its divisors is an integer number (2294315168706).

Almost surely, 2^{125563514701608} is an apocalyptic number.

125563514701608 is a gapful number since it is divisible by the number (18) 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 125563514701608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183545213496480).

125563514701608 is an abundant number, since it is smaller than the sum of its proper divisors (241526912291352).

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

125563514701608 is a wasteful number, since it uses less digits than its factorization.

125563514701608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416829 (or 2416816 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 125563514701608 in words is "one hundred twenty-five trillion, five hundred sixty-three billion, five hundred fourteen million, seven hundred one thousand, six hundred eight".