248226997680 has 120 divisors (see below), whose sum is σ = 869873797728. Its totient is φ = 63315867648.

The previous prime is 248226997673. The next prime is 248226997723. The reversal of 248226997680 is 86799622842.

248226997680 is a `hidden beast` number, since 2 + 482 + 2 + 6 + 9 + 9 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7478217 + ... + 7511336.

Almost surely, 2^248226997680 is an apocalyptic number.

248226997680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248226997680 is an abundant number, since it is smaller than the sum of its proper divisors (621646800048).

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

248226997680 is a wasteful number, since it uses less digits than its factorization.

248226997680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14989595 (or 14989586 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 248226997680 in words is "two hundred forty-eight billion, two hundred twenty-six million, nine hundred ninety-seven thousand, six hundred eighty".