814248972 has 18 divisors (see below), whose sum is σ = 2058240548. Its totient is φ = 271416312.

The previous prime is 814248947. The next prime is 814248997. The reversal of 814248972 is 279842418.

814248972 is a `hidden beast` number, since 81 + 424 + 89 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (814248947) and next prime (814248997).

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11308978 + ... + 11309049.

Almost surely, 2^814248972 is an apocalyptic number.

It is an amenable number.

814248972 is an abundant number, since it is smaller than the sum of its proper divisors (1243991576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814248972 is a wasteful number, since it uses less digits than its factorization.

814248972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22618037 (or 22618032 counting only the distinct ones).

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

The square root of 814248972 is about 28535.0481338301. The cubic root of 814248972 is about 933.7968537211.

The spelling of 814248972 in words is "eight hundred fourteen million, two hundred forty-eight thousand, nine hundred seventy-two".