115761442406368 has 192 divisors, whose sum is σ = 262066445625600. Its totient is φ = 49781486960640.

The previous prime is 115761442406339. The next prime is 115761442406369. The reversal of 115761442406368 is 863604244167511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115761442406369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18465691938 + ... + 18465698206.

It is an arithmetic number, because the mean of its divisors is an integer number (1364929404300).

Almost surely, 2^{115761442406368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115761442406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033222812800).

115761442406368 is an abundant number, since it is smaller than the sum of its proper divisors (146305003219232).

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

115761442406368 is a wasteful number, since it uses less digits than its factorization.

115761442406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 115761442406368 in words is "one hundred fifteen trillion, seven hundred sixty-one billion, four hundred forty-two million, four hundred six thousand, three hundred sixty-eight".