115131676016448 has 504 divisors, whose sum is σ = 413881161596448. Its totient is φ = 30329924954112.

The previous prime is 115131676016447. The next prime is 115131676016471. The reversal of 115131676016448 is 844610676131511.

115131676016448 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 16 + 7 + 601 + 6 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×115131676016448² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115131676016394 and 115131676016403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115131676016447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323805615 + ... + 324160977.

Almost surely, 2^{115131676016448} is an apocalyptic number.

115131676016448 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 115131676016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206940580798224).

115131676016448 is an abundant number, since it is smaller than the sum of its proper divisors (298749485580000).

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

115131676016448 is a wasteful number, since it uses less digits than its factorization.

115131676016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356291 (or 356271 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 115131676016448 in words is "one hundred fifteen trillion, one hundred thirty-one billion, six hundred seventy-six million, sixteen thousand, four hundred forty-eight".