115714441071360 has 1008 divisors, whose sum is σ = 425618439720768. Its totient is φ = 30119620608000.

The previous prime is 115714441071301. The next prime is 115714441071373. The reversal of 115714441071360 is 63170144417511.

115714441071360 is a `hidden beast` number, since 1 + 1 + 5 + 71 + 4 + 441 + 0 + 7 + 136 + 0 = 666.

It is a super-2 number, since 2×115714441071360² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6691394874 + ... + 6691412166.

It is an arithmetic number, because the mean of its divisors is an integer number (422240515596).

Almost surely, 2^{115714441071360} is an apocalyptic number.

115714441071360 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 115714441071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212809219860384).

115714441071360 is an abundant number, since it is smaller than the sum of its proper divisors (309903998649408).

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

115714441071360 is an equidigital number, since it uses as much as digits as its factorization.

115714441071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17504 (or 17475 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

Adding to 115714441071360 its reverse (63170144417511), we get a palindrome (178884585488871).

The spelling of 115714441071360 in words is "one hundred fifteen trillion, seven hundred fourteen billion, four hundred forty-one million, seventy-one thousand, three hundred sixty".