248972666400 has 108 divisors (see below), whose sum is σ = 877939890282. Its totient is φ = 66392709120.

The previous prime is 248972666399. The next prime is 248972666417. The reversal of 248972666400 is 4666279842.

It can be written as a sum of positive squares in 3 ways, for example, as 119381306256 + 129591360144 = 345516^2 + 359988^2 .

It is a super-2 number, since 2×248972666400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17282569 + ... + 17296968.

Almost surely, 2^248972666400 is an apocalyptic number.

248972666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248972666400 is an abundant number, since it is smaller than the sum of its proper divisors (628967223882).

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

248972666400 is a wasteful number, since it uses less digits than its factorization.

248972666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34579563 (or 34579547 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 248972666400 in words is "two hundred forty-eight billion, nine hundred seventy-two million, six hundred sixty-six thousand, four hundred".