125653535966448 has 200 divisors, whose sum is σ = 415665948102240. Its totient is φ = 35898057031680.

The previous prime is 125653535966429. The next prime is 125653535966461. The reversal of 125653535966448 is 844669535356521.

125653535966448 is a `hidden beast` number, since 1 + 2 + 5 + 65 + 3 + 5 + 35 + 96 + 6 + 448 = 666.

It is a super-2 number, since 2×125653535966448² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110922268 + ... + 112049348.

Almost surely, 2^{125653535966448} is an apocalyptic number.

125653535966448 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 125653535966448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207832974051120).

125653535966448 is an abundant number, since it is smaller than the sum of its proper divisors (290012412135792).

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

125653535966448 is a wasteful number, since it uses less digits than its factorization.

125653535966448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139397 (or 1139382 counting only the distinct ones).

The product of its digits is 2799360000, while the sum is 72.

The spelling of 125653535966448 in words is "one hundred twenty-five trillion, six hundred fifty-three billion, five hundred thirty-five million, nine hundred sixty-six thousand, four hundred forty-eight".