115513682715648 has 1408 divisors, whose sum is σ = 402065815818240. Its totient is φ = 32085234155520.

The previous prime is 115513682715589. The next prime is 115513682715671. The reversal of 115513682715648 is 846517286315511.

115513682715648 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 3 + 68 + 2 + 7 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×115513682715648³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (48384000) is a multiple of the sum of its prime factors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411080721268 + ... + 411080721548.

Almost surely, 2^{115513682715648} is an apocalyptic number.

115513682715648 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 115513682715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201032907909120).

115513682715648 is an abundant number, since it is smaller than the sum of its proper divisors (286552133102592).

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

115513682715648 is a wasteful number, since it uses less digits than its factorization.

115513682715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 696 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 115513682715648 in words is "one hundred fifteen trillion, five hundred thirteen billion, six hundred eighty-two million, seven hundred fifteen thousand, six hundred forty-eight".