114294628595520 has 672 divisors, whose sum is σ = 399776128970400. Its totient is φ = 29967777792000.

The previous prime is 114294628595467. The next prime is 114294628595527. The reversal of 114294628595520 is 25595826492411.

It is a happy number.

114294628595520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 4 + 6 + 28 + 59 + 552 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16021191011904 + 98273437583616 = 4002648^2 + 9913296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114294628595527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28566513520 + ... + 28566517520.

It is an arithmetic number, because the mean of its divisors is an integer number (594904953825).

Almost surely, 2^{114294628595520} is an apocalyptic number.

114294628595520 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 114294628595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199888064485200).

114294628595520 is an abundant number, since it is smaller than the sum of its proper divisors (285481500374880).

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

114294628595520 is a wasteful number, since it uses less digits than its factorization.

114294628595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 114294628595520 in words is "one hundred fourteen trillion, two hundred ninety-four billion, six hundred twenty-eight million, five hundred ninety-five thousand, five hundred twenty".