114564790521600 has 432 divisors, whose sum is σ = 400476891276000. Its totient is φ = 28742831308800.

The previous prime is 114564790521497. The next prime is 114564790521611. The reversal of 114564790521600 is 6125097465411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897209760 + ... + 897337440.

Almost surely, 2^{114564790521600} is an apocalyptic number.

114564790521600 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 114564790521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200238445638000).

114564790521600 is an abundant number, since it is smaller than the sum of its proper divisors (285912100754400).

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

114564790521600 is a wasteful number, since it uses less digits than its factorization.

114564790521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130476 (or 130457 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 114564790521600 in words is "one hundred fourteen trillion, five hundred sixty-four billion, seven hundred ninety million, five hundred twenty-one thousand, six hundred".