248117697971 has 96 divisors (see below), whose sum is σ = 314269735680. Its totient is φ = 193617216000.

The previous prime is 248117697959. The next prime is 248117698001. The reversal of 248117697971 is 179796711842.

It is not a de Polignac number, because 248117697971 - 2¹⁴ = 248117681587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248117697871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560084876 + ... + 560085318.

It is an arithmetic number, because the mean of its divisors is an integer number (3273643080).

Almost surely, 2^248117697971 is an apocalyptic number.

248117697971 is a deficient number, since it is larger than the sum of its proper divisors (66152037709).

248117697971 is a wasteful number, since it uses less digits than its factorization.

248117697971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 62.

The spelling of 248117697971 in words is "two hundred forty-eight billion, one hundred seventeen million, six hundred ninety-seven thousand, nine hundred seventy-one".