115163143329600 has 840 divisors, whose sum is σ = 450170605641240. Its totient is φ = 28777347809280.

The previous prime is 115163143329571. The next prime is 115163143329629. The reversal of 115163143329600 is 6923341361511.

115163143329600 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 3 + 1 + 4 + 3 + 32 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (115163143329571) and next prime (115163143329629).

It can be written as a sum of positive squares in 12 ways, for example, as 3693130749504 + 111470012580096 = 1921752^2 + 10557936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 504418672 + ... + 504646928.

Almost surely, 2^{115163143329600} is an apocalyptic number.

115163143329600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115163143329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225085302820620).

115163143329600 is an abundant number, since it is smaller than the sum of its proper divisors (335007462311640).

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

115163143329600 is a wasteful number, since it uses less digits than its factorization.

115163143329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228537 (or 228513 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 115163143329600 in words is "one hundred fifteen trillion, one hundred sixty-three billion, one hundred forty-three million, three hundred twenty-nine thousand, six hundred".