248961363280 has 80 divisors (see below), whose sum is σ = 663176196864. Its totient is φ = 85145241600.

The previous prime is 248961363263. The next prime is 248961363319. The reversal of 248961363280 is 82363169842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×248961363280² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329772 + ... + 778891.

Almost surely, 2^248961363280 is an apocalyptic number.

248961363280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248961363280 is an abundant number, since it is smaller than the sum of its proper divisors (414214833584).

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

248961363280 is a wasteful number, since it uses less digits than its factorization.

248961363280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109084 (or 1109078 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 248961363280 in words is "two hundred forty-eight billion, nine hundred sixty-one million, three hundred sixty-three thousand, two hundred eighty".