125497060416 has 336 divisors, whose sum is σ = 447308045184. Its totient is φ = 32755580928.

The previous prime is 125497060343. The next prime is 125497060441. The reversal of 125497060416 is 614060794521.

125497060416 is a `hidden beast` number, since 1 + 2 + 549 + 7 + 0 + 60 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5072011 + ... + 5096693.

It is an arithmetic number, because the mean of its divisors is an integer number (1331273944).

Almost surely, 2^125497060416 is an apocalyptic number.

125497060416 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 125497060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223654022592).

125497060416 is an abundant number, since it is smaller than the sum of its proper divisors (321810984768).

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

125497060416 is a wasteful number, since it uses less digits than its factorization.

125497060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24818 (or 24805 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 125497060416 in words is "one hundred twenty-five billion, four hundred ninety-seven million, sixty thousand, four hundred sixteen".