125366988749184 has 2304 divisors, whose sum is σ = 493100567930880. Its totient is φ = 29662101504000.

The previous prime is 125366988749179. The next prime is 125366988749209. The reversal of 125366988749184 is 481947889663521.

125366988749184 is a `hidden beast` number, since 1 + 2 + 5 + 36 + 6 + 98 + 8 + 7 + 491 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 121597466749 + ... + 121597467779.

It is an arithmetic number, because the mean of its divisors is an integer number (214019343720).

Almost surely, 2^{125366988749184} is an apocalyptic number.

125366988749184 is a gapful number since it is divisible by the number (14) 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 125366988749184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246550283965440).

125366988749184 is an abundant number, since it is smaller than the sum of its proper divisors (367733579181696).

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

125366988749184 is a wasteful number, since it uses less digits than its factorization.

125366988749184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1175 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 125366988749184 in words is "one hundred twenty-five trillion, three hundred sixty-six billion, nine hundred eighty-eight million, seven hundred forty-nine thousand, one hundred eighty-four".