115141973760 has 1296 divisors, whose sum is σ = 478626980832. Its totient is φ = 25433210880.

The previous prime is 115141973759. The next prime is 115141973761. The reversal of 115141973760 is 67379141511.

115141973760 is a `hidden beast` number, since 1 + 1 + 514 + 1 + 9 + 73 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (115141973759) and next prime (115141973761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115141973761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1018955464 + ... + 1018955576.

It is an arithmetic number, because the mean of its divisors is an integer number (369310942).

Almost surely, 2^115141973760 is an apocalyptic number.

115141973760 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 115141973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239313490416).

115141973760 is an abundant number, since it is smaller than the sum of its proper divisors (363485007072).

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

115141973760 is a wasteful number, since it uses less digits than its factorization.

115141973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 115141973760 in words is "one hundred fifteen billion, one hundred forty-one million, nine hundred seventy-three thousand, seven hundred sixty".