115479320850432 has 3744 divisors, whose sum is σ = 482037807513600. Its totient is φ = 25773421363200.

The previous prime is 115479320850427. The next prime is 115479320850437. The reversal of 115479320850432 is 234058023974511.

115479320850432 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 79 + 32 + 0 + 8 + 504 + 32 = 666.

115479320850432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (115479320850427) and next prime (115479320850437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115479320850437) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 483177074569 + ... + 483177074807.

It is an arithmetic number, because the mean of its divisors is an integer number (128749414400).

Almost surely, 2^{115479320850432} is an apocalyptic number.

115479320850432 is a gapful number since it is divisible by the number (12) 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 115479320850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241018903756800).

115479320850432 is an abundant number, since it is smaller than the sum of its proper divisors (366558486663168).

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

115479320850432 is a wasteful number, since it uses less digits than its factorization.

115479320850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 115479320850432 in words is "one hundred fifteen trillion, four hundred seventy-nine billion, three hundred twenty million, eight hundred fifty thousand, four hundred thirty-two".