125343760860864 has 504 divisors, whose sum is σ = 464599880803968. Its totient is φ = 31991315005440.

The previous prime is 125343760860841. The next prime is 125343760860869. The reversal of 125343760860864 is 468068067343521.

It is a happy number.

125343760860864 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 437 + 60 + 8 + 60 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×125343760860864² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125343760860869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5864304 + ... + 16884240.

Almost surely, 2^{125343760860864} is an apocalyptic number.

125343760860864 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 125343760860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232299940401984).

125343760860864 is an abundant number, since it is smaller than the sum of its proper divisors (339256119943104).

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

125343760860864 is a wasteful number, since it uses less digits than its factorization.

125343760860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11020013 (or 11019993 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 125343760860864 in words is "one hundred twenty-five trillion, three hundred forty-three billion, seven hundred sixty million, eight hundred sixty thousand, eight hundred sixty-four".