115237771431552 has 1536 divisors, whose sum is σ = 435287959142400. Its totient is φ = 29477260800000.

The previous prime is 115237771431479. The next prime is 115237771431611. The reversal of 115237771431552 is 255134177732511.

115237771431552 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 3 + 7 + 77 + 14 + 3 + 1 + 552 = 666.

It is a super-2 number, since 2×115237771431552² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142093429227 + ... + 142093430037.

It is an arithmetic number, because the mean of its divisors is an integer number (283390598400).

Almost surely, 2^{115237771431552} is an apocalyptic number.

115237771431552 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 115237771431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217643979571200).

115237771431552 is an abundant number, since it is smaller than the sum of its proper divisors (320050187710848).

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

115237771431552 is an equidigital number, since it uses as much as digits as its factorization.

115237771431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1664 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 115237771431552 in words is "one hundred fifteen trillion, two hundred thirty-seven billion, seven hundred seventy-one million, four hundred thirty-one thousand, five hundred fifty-two".