114077764516 has 27 divisors (see below), whose sum is σ = 201831337827. Its totient is φ = 56418428160.

The previous prime is 114077764483. The next prime is 114077764523. The reversal of 114077764516 is 615467770411.

The square root of 114077764516 is 337754.

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 58995552100 + 55082212416 = 242890^2 + 234696^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114077764516.

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 8 ways as a sum of consecutive naturals, for example, 65523406 + ... + 65525146.

Almost surely, 2^114077764516 is an apocalyptic number.

114077764516 is the 337754-th square number.

It is an amenable number.

114077764516 is a deficient number, since it is larger than the sum of its proper divisors (87753573311).

114077764516 is an frugal number, since it uses more digits than its factorization.

114077764516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

Multiplying 114077764516 by its sum of digits (49), we get a square (5589810461284 = 2364278²).

The spelling of 114077764516 in words is "one hundred fourteen billion, seventy-seven million, seven hundred sixty-four thousand, five hundred sixteen".