125964618683904 has 800 divisors, whose sum is σ = 504800684188416. Its totient is φ = 30201297223680.

The previous prime is 125964618683887. The next prime is 125964618683909. The reversal of 125964618683904 is 409386816469521.

125964618683904 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 6 + 461 + 86 + 83 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125964618683909) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 39996319 + ... + 43030625.

Almost surely, 2^{125964618683904} is an apocalyptic number.

125964618683904 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 125964618683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252400342094208).

125964618683904 is an abundant number, since it is smaller than the sum of its proper divisors (378836065504512).

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

125964618683904 is a wasteful number, since it uses less digits than its factorization.

125964618683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034368 (or 3034343 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 125964618683904 in words is "one hundred twenty-five trillion, nine hundred sixty-four billion, six hundred eighteen million, six hundred eighty-three thousand, nine hundred four".