116406006057 has 48 divisors (see below), whose sum is σ = 195303026880. Its totient is φ = 66028032000.

The previous prime is 116406006049. The next prime is 116406006071. The reversal of 116406006057 is 750600604611.

116406006057 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 6 + 0 + 0 + 605 + 7 = 666.

It is not a de Polignac number, because 116406006057 - 2³ = 116406006049 is a prime.

It is a super-2 number, since 2×116406006057² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116406006007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108057 + ... + 494457.

It is an arithmetic number, because the mean of its divisors is an integer number (4068813060).

Almost surely, 2^116406006057 is an apocalyptic number.

116406006057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116406006057 is a deficient number, since it is larger than the sum of its proper divisors (78897020823).

116406006057 is a wasteful number, since it uses less digits than its factorization.

116406006057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386614 (or 386611 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 116406006057 in words is "one hundred sixteen billion, four hundred six million, six thousand, fifty-seven".