114815362606560 has 2304 divisors, whose sum is σ = 517457450926080. Its totient is φ = 23509607546880.

The previous prime is 114815362606517. The next prime is 114815362606597. The reversal of 114815362606560 is 65606263518411.

114815362606560 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 5 + 3 + 626 + 0 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114815362606497 and 114815362606506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46427561484 + ... + 46427563956.

It is an arithmetic number, because the mean of its divisors is an integer number (224590907520).

Almost surely, 2^{114815362606560} is an apocalyptic number.

114815362606560 is a gapful number since it is divisible by the number (10) 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 114815362606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258728725463040).

114815362606560 is an abundant number, since it is smaller than the sum of its proper divisors (402642088319520).

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

114815362606560 is a wasteful number, since it uses less digits than its factorization.

114815362606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 114815362606560 in words is "one hundred fourteen trillion, eight hundred fifteen billion, three hundred sixty-two million, six hundred six thousand, five hundred sixty".