464768064121 has 27 divisors (see below), whose sum is σ = 500686212621. Its totient is φ = 431360807904.

The previous prime is 464768064067. The next prime is 464768064149. The reversal of 464768064121 is 121460867464.

The square root of 464768064121 is 681739.

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 301907390521 + 162860673600 = 549461^2 + 403560^2 .

It is not a de Polignac number, because 464768064121 - 2²¹ = 464765966969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464768064721) 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, 686510835 + ... + 686511511.

Almost surely, 2^464768064121 is an apocalyptic number.

464768064121 is the 681739-th square number.

464768064121 is the 340870-th centered octagonal number.

It is an amenable number.

464768064121 is a deficient number, since it is larger than the sum of its proper divisors (35918148500).

464768064121 is an frugal number, since it uses more digits than its factorization.

464768064121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 464768064121 by its sum of digits (49), we get a square (22773635141929 = 4772173²).

The spelling of 464768064121 in words is "four hundred sixty-four billion, seven hundred sixty-eight million, sixty-four thousand, one hundred twenty-one".