248800442401 has 9 divisors (see below), whose sum is σ = 289424984499. Its totient is φ = 213254529264.

The previous prime is 248800442383. The next prime is 248800442459. The reversal of 248800442401 is 104244008842.

The square root of 248800442401 is 498799.

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

It can be written as a sum of positive squares in only one way, i.e., 206929461025 + 41870981376 = 454895^2 + 204624^2 .

It is not a de Polignac number, because 248800442401 - 2⁵ = 248800442369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248800442801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3455965 + ... + 3527221.

It is an arithmetic number, because the mean of its divisors is an integer number (32158331611).

Almost surely, 2^248800442401 is an apocalyptic number.

248800442401 is the 498799-th square number.

248800442401 is the 249400-th centered octagonal number.

It is an amenable number.

248800442401 is a deficient number, since it is larger than the sum of its proper divisors (40624542098).

248800442401 is an frugal number, since it uses more digits than its factorization.

248800442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142528 (or 71264 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 37.

The spelling of 248800442401 in words is "two hundred forty-eight billion, eight hundred million, four hundred forty-two thousand, four hundred one".