116166406125 has 128 divisors (see below), whose sum is σ = 253683855360. Its totient is φ = 45735840000.

The previous prime is 116166406121. The next prime is 116166406151. The reversal of 116166406125 is 521604661611.

It is a happy number.

It is not a de Polignac number, because 116166406125 - 2² = 116166406121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116166406121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 442755 + ... + 654495.

It is an arithmetic number, because the mean of its divisors is an integer number (1981905120).

Almost surely, 2^116166406125 is an apocalyptic number.

116166406125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116166406125 is an abundant number, since it is smaller than the sum of its proper divisors (137517449235).

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

116166406125 is a wasteful number, since it uses less digits than its factorization.

116166406125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211796 (or 211786 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 116166406125 in words is "one hundred sixteen billion, one hundred sixty-six million, four hundred six thousand, one hundred twenty-five".