114113028816900 has 405 divisors, whose sum is σ = 390465455433669. Its totient is φ = 28823939864640.

The previous prime is 114113028816883. The next prime is 114113028816923. The reversal of 114113028816900 is 9618820311411.

The square root of 114113028816900 is 10682370.

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

114113028816900 is a `hidden beast` number, since 1 + 141 + 130 + 288 + 16 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41080690374084 + 73032338442816 = 6409422^2 + 8545896^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×114113028816900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18266849577 + ... + 18266855823.

Almost surely, 2^{114113028816900} is an apocalyptic number.

114113028816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114113028816900 is the 10682370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114113028816900

114113028816900 is an abundant number, since it is smaller than the sum of its proper divisors (276352426616769).

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

114113028816900 is an frugal number, since it uses more digits than its factorization.

114113028816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 114113028816900 in words is "one hundred fourteen trillion, one hundred thirteen billion, twenty-eight million, eight hundred sixteen thousand, nine hundred".