114786153268900 has 81 divisors (see below), whose sum is σ = 249779533196739. Its totient is φ = 45786966730560.

The previous prime is 114786153268867. The next prime is 114786153268907. The reversal of 114786153268900 is 9862351687411.

The square root of 114786153268900 is 10713830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5130741432996 + 109655411835904 = 2265114^2 + 10471648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114786153268907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44890946422 + ... + 44890948978.

It is a 1-persistent number, because it is pandigital, but 2⋅114786153268900 = 229572306537800 is not.

Almost surely, 2^{114786153268900} is an apocalyptic number.

114786153268900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114786153268900 is the 10713830-th square number.

It is an amenable number.

114786153268900 is an abundant number, since it is smaller than the sum of its proper divisors (134993379927839).

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

114786153268900 is an frugal number, since it uses more digits than its factorization.

114786153268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 114786153268900 in words is "one hundred fourteen trillion, seven hundred eighty-six billion, one hundred fifty-three million, two hundred sixty-eight thousand, nine hundred".