248445066240 has 1232 divisors, whose sum is σ = 1052888893632. Its totient is φ = 55037657088.

The previous prime is 248445066211. The next prime is 248445066253. The reversal of 248445066240 is 42660544842.

248445066240 is a `hidden beast` number, since 2 + 4 + 8 + 44 + 506 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 966712192 + ... + 966712448.

Almost surely, 2^248445066240 is an apocalyptic number.

248445066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248445066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526444446816).

248445066240 is an abundant number, since it is smaller than the sum of its proper divisors (804443827392).

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

248445066240 is an equidigital number, since it uses as much as digits as its factorization.

248445066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 248445066240 in words is "two hundred forty-eight billion, four hundred forty-five million, sixty-six thousand, two hundred forty".