115501641687432 has 960 divisors, whose sum is σ = 456384214218240. Its totient is φ = 26799355699200.

The previous prime is 115501641687431. The next prime is 115501641687503. The reversal of 115501641687432 is 234786146105511.

115501641687432 is a `hidden beast` number, since 1 + 1 + 5 + 501 + 6 + 4 + 1 + 68 + 74 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (115501641687431) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140346328 + ... + 141166904.

It is an arithmetic number, because the mean of its divisors is an integer number (475400223144).

Almost surely, 2^{115501641687432} is an apocalyptic number.

115501641687432 is a gapful number since it is divisible by the number (12) 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 115501641687432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228192107109120).

115501641687432 is an abundant number, since it is smaller than the sum of its proper divisors (340882572530808).

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

115501641687432 is a wasteful number, since it uses less digits than its factorization.

115501641687432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820664 (or 820644 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 115501641687432 in words is "one hundred fifteen trillion, five hundred one billion, six hundred forty-one million, six hundred eighty-seven thousand, four hundred thirty-two".