125346411334656 has 264 divisors, whose sum is σ = 382844976115680. Its totient is φ = 39418044678144.

The previous prime is 125346411334637. The next prime is 125346411334657. The reversal of 125346411334656 is 656433114643521.

125346411334656 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 6 + 41 + 133 + 465 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (125346411334657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11423350 + ... + 19523978.

Almost surely, 2^{125346411334656} is an apocalyptic number.

125346411334656 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 125346411334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191422488057840).

125346411334656 is an abundant number, since it is smaller than the sum of its proper divisors (257498564781024).

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

125346411334656 is a wasteful number, since it uses less digits than its factorization.

125346411334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100751 (or 8100730 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 125346411334656 in words is "one hundred twenty-five trillion, three hundred forty-six billion, four hundred eleven million, three hundred thirty-four thousand, six hundred fifty-six".