125463509808 has 360 divisors, whose sum is σ = 409763059200. Its totient is φ = 32967986688.

The previous prime is 125463509797. The next prime is 125463509819. The reversal of 125463509808 is 808905364521.

It is an interprime number because it is at equal distance from previous prime (125463509797) and next prime (125463509819).

It is a super-2 number, since 2×125463509808² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 174496873 + ... + 174497591.

It is an arithmetic number, because the mean of its divisors is an integer number (1138230720).

Almost surely, 2^125463509808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125463509808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204881529600).

125463509808 is an abundant number, since it is smaller than the sum of its proper divisors (284299549392).

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

125463509808 is a wasteful number, since it uses less digits than its factorization.

125463509808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 125463509808 in words is "one hundred twenty-five billion, four hundred sixty-three million, five hundred nine thousand, eight hundred eight".