115477735413006 has 48 divisors (see below), whose sum is σ = 252451805510736. Its totient is φ = 38146514450688.

The previous prime is 115477735412983. The next prime is 115477735413149. The reversal of 115477735413006 is 600314537774511.

115477735413006 is a `hidden beast` number, since 1 + 1 + 5 + 477 + 7 + 35 + 4 + 130 + 0 + 6 = 666.

It is a super-2 number, since 2×115477735413006² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10294956 + ... + 18355968.

It is an arithmetic number, because the mean of its divisors is an integer number (5259412614807).

Almost surely, 2^{115477735413006} is an apocalyptic number.

115477735413006 is an abundant number, since it is smaller than the sum of its proper divisors (136974070097730).

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

115477735413006 is a wasteful number, since it uses less digits than its factorization.

115477735413006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068177 (or 8068174 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 115477735413006 in words is "one hundred fifteen trillion, four hundred seventy-seven billion, seven hundred thirty-five million, four hundred thirteen thousand, six".