115041345973632 has 512 divisors, whose sum is σ = 378622593216000. Its totient is φ = 34143814656000.

The previous prime is 115041345973591. The next prime is 115041345973643. The reversal of 115041345973632 is 236379543140511.

115041345973632 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 4 + 13 + 4 + 597 + 3 + 6 + 32 = 666.

It is a super-2 number, since 2×115041345973632² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369318507 + ... + 1369402517.

It is an arithmetic number, because the mean of its divisors is an integer number (739497252375).

Almost surely, 2^{115041345973632} is an apocalyptic number.

115041345973632 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 115041345973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189311296608000).

115041345973632 is an abundant number, since it is smaller than the sum of its proper divisors (263581247242368).

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

115041345973632 is a wasteful number, since it uses less digits than its factorization.

115041345973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85127 (or 85109 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 115041345973632 in words is "one hundred fifteen trillion, forty-one billion, three hundred forty-five million, nine hundred seventy-three thousand, six hundred thirty-two".