125894393856 has 855 divisors, whose sum is σ = 480928989387. Its totient is φ = 32699842560.

The previous prime is 125894393837. The next prime is 125894393861. The reversal of 125894393856 is 658393498521.

The square root of 125894393856 is 354816.

It is a perfect power (a square), and thus also a powerful number.

125894393856 is a `hidden beast` number, since 1 + 2 + 589 + 43 + 9 + 3 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 125894393793 and 125894393802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11444944891 + ... + 11444944901.

Almost surely, 2^125894393856 is an apocalyptic number.

125894393856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125894393856 is the 354816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125894393856

125894393856 is an abundant number, since it is smaller than the sum of its proper divisors (355034595531).

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

125894393856 is an frugal number, since it uses more digits than its factorization.

125894393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 125894393856 in words is "one hundred twenty-five billion, eight hundred ninety-four million, three hundred ninety-three thousand, eight hundred fifty-six".