115187425170048 has 1600 divisors, whose sum is σ = 441137548737600. Its totient is φ = 29211433574400.

The previous prime is 115187425170047. The next prime is 115187425170049. The reversal of 115187425170048 is 840071524781511.

115187425170048 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 7 + 425 + 170 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (115187425170047) and next prime (115187425170049).

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

It is a junction number, because it is equal to n+sod(n) for n = 115187425169976 and 115187425170003.

It is not an unprimeable number, because it can be changed into a prime (115187425170043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 45691163028 + ... + 45691165548.

It is an arithmetic number, because the mean of its divisors is an integer number (275710967961).

Almost surely, 2^{115187425170048} is an apocalyptic number.

115187425170048 is a gapful number since it is divisible by the number (18) 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 115187425170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220568774368800).

115187425170048 is an abundant number, since it is smaller than the sum of its proper divisors (325950123567552).

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

115187425170048 is an frugal number, since it uses more digits than its factorization.

115187425170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 54.

The spelling of 115187425170048 in words is "one hundred fifteen trillion, one hundred eighty-seven billion, four hundred twenty-five million, one hundred seventy thousand, forty-eight".