464729815953649 has 3 divisors (see below), whose sum is σ = 464729837511243. Its totient is φ = 464729794396056.

The previous prime is 464729815953593. The next prime is 464729815953661. The reversal of 464729815953649 is 946359518927464.

The square root of 464729815953649 is 21557593.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 464717398863025 + 12417090624 = 21557305^2 + 111432^2 .

It is not a de Polignac number, because 464729815953649 - 2¹³ = 464729815945457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464729815953679) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10778797 + ... + 32336389.

It is an arithmetic number, because the mean of its divisors is an integer number (154909945837081).

Almost surely, 2^{464729815953649} is an apocalyptic number.

464729815953649 is the 21557593-rd square number.

464729815953649 is the 10778797-th centered octagonal number.

It is an amenable number.

464729815953649 is a deficient number, since it is larger than the sum of its proper divisors (21557594).

464729815953649 is an frugal number, since it uses more digits than its factorization.

464729815953649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43115186 (or 21557593 counting only the distinct ones).

The product of its digits is 14108774400, while the sum is 82.

The spelling of 464729815953649 in words is "four hundred sixty-four trillion, seven hundred twenty-nine billion, eight hundred fifteen million, nine hundred fifty-three thousand, six hundred forty-nine".