116825257152 has 112 divisors (see below), whose sum is σ = 344198468320. Its totient is φ = 38856278016.

The previous prime is 116825257139. The next prime is 116825257163. The reversal of 116825257152 is 251752528611.

It is a happy number.

116825257152 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 525 + 71 + 52 = 666.

It is a super-2 number, since 2×116825257152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116825257098 and 116825257107.

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 15 ways as a sum of consecutive naturals, for example, 715728 + ... + 863664.

It is an arithmetic number, because the mean of its divisors is an integer number (3073200610).

Almost surely, 2^116825257152 is an apocalyptic number.

116825257152 is a gapful number since it is divisible by the number (12) 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 116825257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172099234160).

116825257152 is an abundant number, since it is smaller than the sum of its proper divisors (227373211168).

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

116825257152 is a wasteful number, since it uses less digits than its factorization.

116825257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148415 (or 148399 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 116825257152 in words is "one hundred sixteen billion, eight hundred twenty-five million, two hundred fifty-seven thousand, one hundred fifty-two".