248133611680 has 24 divisors (see below), whose sum is σ = 586215657972. Its totient is φ = 99253444608.

The previous prime is 248133611657. The next prime is 248133611707. The reversal of 248133611680 is 86116331842.

It can be written as a sum of positive squares in 2 ways, for example, as 244656858384 + 3476753296 = 494628^2 + 58964^2 .

It is a super-2 number, since 2×248133611680² (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 3 ways as a sum of consecutive naturals, for example, 775417377 + ... + 775417696.

Almost surely, 2^248133611680 is an apocalyptic number.

248133611680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248133611680 is an abundant number, since it is smaller than the sum of its proper divisors (338082046292).

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

248133611680 is a wasteful number, since it uses less digits than its factorization.

248133611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550835088 (or 1550835080 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 248133611680 in words is "two hundred forty-eight billion, one hundred thirty-three million, six hundred eleven thousand, six hundred eighty".