18772014121 has 45 divisors (see below), whose sum is σ = 23463099639. Its totient is φ = 14974754256.

The previous prime is 18772014113. The next prime is 18772014181. The reversal of 18772014121 is 12141027781.

It is a happy number.

The square root of 18772014121 is 137011.

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

It can be written as a sum of positive squares in only one way, i.e., 16797456025 + 1974558096 = 129605^2 + 44436^2 .

It is not a de Polignac number, because 18772014121 - 2³ = 18772014113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18772014181) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 507351715 + ... + 507351751.

Almost surely, 2^18772014121 is an apocalyptic number.

18772014121 is the 137011-st square number.

18772014121 is the 68506-th centered octagonal number.

It is an amenable number.

18772014121 is a deficient number, since it is larger than the sum of its proper divisors (4691085518).

18772014121 is an frugal number, since it uses more digits than its factorization.

18772014121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 34.

The spelling of 18772014121 in words is "eighteen billion, seven hundred seventy-two million, fourteen thousand, one hundred twenty-one".