46768820121 has 15 divisors (see below), whose sum is σ = 69867441391. Its totient is φ = 31177915848.

The previous prime is 46768820107. The next prime is 46768820191. The reversal of 46768820121 is 12102886764.

The square root of 46768820121 is 216261.

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

46768820121 is a `hidden beast` number, since 467 + 68 + 8 + 2 + 0 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46737683721 + 31136400 = 216189^2 + 5580^2 .

It is not a de Polignac number, because 46768820121 - 2⁹ = 46768819609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46768820101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1934335 + ... + 1958363.

Almost surely, 2^46768820121 is an apocalyptic number.

46768820121 is the 216261-st square number.

46768820121 is the 108131-st centered octagonal number.

It is an amenable number.

46768820121 is a deficient number, since it is larger than the sum of its proper divisors (23098621270).

46768820121 is an frugal number, since it uses more digits than its factorization.

46768820121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48070 (or 24032 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 46768820121 in words is "forty-six billion, seven hundred sixty-eight million, eight hundred twenty thousand, one hundred twenty-one".