125616834816 has 288 divisors, whose sum is σ = 369874391040. Its totient is φ = 37531852800.

The previous prime is 125616834787. The next prime is 125616834839. The reversal of 125616834816 is 618438616521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246791170 + ... + 246791678.

It is an arithmetic number, because the mean of its divisors is an integer number (1284286080).

Almost surely, 2^125616834816 is an apocalyptic number.

125616834816 is a gapful number since it is divisible by the number (16) 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 125616834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184937195520).

125616834816 is an abundant number, since it is smaller than the sum of its proper divisors (244257556224).

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

125616834816 is a wasteful number, since it uses less digits than its factorization.

125616834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 125616834816 in words is "one hundred twenty-five billion, six hundred sixteen million, eight hundred thirty-four thousand, eight hundred sixteen".