116638642575 has 384 divisors, whose sum is σ = 279982080000. Its totient is φ = 46228631040.

The previous prime is 116638642529. The next prime is 116638642577. The reversal of 116638642575 is 575246836611.

It is a happy number.

116638642575 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 8 + 64 + 2 + 575 = 666.

It is a Cunningham number, because it is equal to 341524²-1.

It is not a de Polignac number, because 116638642575 - 2⁷ = 116638642447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116638642577) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162223066 + ... + 162223784.

It is an arithmetic number, because the mean of its divisors is an integer number (729120000).

Almost surely, 2^116638642575 is an apocalyptic number.

116638642575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116638642575 is an abundant number, since it is smaller than the sum of its proper divisors (163343437425).

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

116638642575 is a wasteful number, since it uses less digits than its factorization.

116638642575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 116638642575 in words is "one hundred sixteen billion, six hundred thirty-eight million, six hundred forty-two thousand, five hundred seventy-five".