125514971566848 has 432 divisors, whose sum is σ = 384795402992000. Its totient is φ = 40783011397632.

The previous prime is 125514971566847. The next prime is 125514971566879. The reversal of 125514971566848 is 848665179415521.

125514971566848 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 497 + 1 + 56 + 6 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (125514971566847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334750040 + ... + 1334844072.

Almost surely, 2^{125514971566848} is an apocalyptic number.

125514971566848 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 125514971566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192397701496000).

125514971566848 is an abundant number, since it is smaller than the sum of its proper divisors (259280431425152).

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

125514971566848 is an frugal number, since it uses more digits than its factorization.

125514971566848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94606 (or 94580 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 72.

The spelling of 125514971566848 in words is "one hundred twenty-five trillion, five hundred fourteen billion, nine hundred seventy-one million, five hundred sixty-six thousand, eight hundred forty-eight".