125246468160 has 448 divisors, whose sum is σ = 495050307840. Its totient is φ = 29541335040.

The previous prime is 125246468153. The next prime is 125246468167. The reversal of 125246468160 is 61864642521.

It is a happy number.

125246468160 is a `hidden beast` number, since 1 + 2 + 5 + 24 + 6 + 468 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (125246468153) and next prime (125246468167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125246468167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3498672 + ... + 3534288.

Almost surely, 2^125246468160 is an apocalyptic number.

125246468160 is a gapful number since it is divisible by the number (10) 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 125246468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247525153920).

125246468160 is an abundant number, since it is smaller than the sum of its proper divisors (369803839680).

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

125246468160 is a wasteful number, since it uses less digits than its factorization.

125246468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35691 (or 35675 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 125246468160 in words is "one hundred twenty-five billion, two hundred forty-six million, four hundred sixty-eight thousand, one hundred sixty".