115449539217408 has 768 divisors, whose sum is σ = 382130817868800. Its totient is φ = 34137520865280.

The previous prime is 115449539217403. The next prime is 115449539217413. The reversal of 115449539217408 is 804712935944511.

115449539217408 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 9 + 5 + 3 + 9 + 217 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (115449539217403) and next prime (115449539217413).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×115449539217408² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115449539217403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42554196660 + ... + 42554199372.

It is an arithmetic number, because the mean of its divisors is an integer number (497566169100).

Almost surely, 2^{115449539217408} is an apocalyptic number.

115449539217408 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 115449539217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191065408934400).

115449539217408 is an abundant number, since it is smaller than the sum of its proper divisors (266681278651392).

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

115449539217408 is a wasteful number, since it uses less digits than its factorization.

115449539217408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 115449539217408 in words is "one hundred fifteen trillion, four hundred forty-nine billion, five hundred thirty-nine million, two hundred seventeen thousand, four hundred eight".