115384183985664 has 240 divisors, whose sum is σ = 373098273284880. Its totient is φ = 34019906273280.

The previous prime is 115384183985639. The next prime is 115384183985669. The reversal of 115384183985664 is 466589381483511.

115384183985664 is a `hidden beast` number, since 1 + 1 + 5 + 384 + 183 + 9 + 8 + 5 + 6 + 64 = 666.

It is a super-3 number, since 3×115384183985664³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 115384183985592 and 115384183985601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115384183985669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28886179 + ... + 32637090.

It is an arithmetic number, because the mean of its divisors is an integer number (1554576138687).

Almost surely, 2^{115384183985664} is an apocalyptic number.

It is an amenable number.

115384183985664 is an abundant number, since it is smaller than the sum of its proper divisors (257714089299216).

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

115384183985664 is a wasteful number, since it uses less digits than its factorization.

115384183985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61523341 (or 61523322 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 115384183985664 in words is "one hundred fifteen trillion, three hundred eighty-four billion, one hundred eighty-three million, nine hundred eighty-five thousand, six hundred sixty-four".