248580281664 has 336 divisors, whose sum is σ = 838041894144. Its totient is φ = 69452697600.

The previous prime is 248580281647. The next prime is 248580281671. The reversal of 248580281664 is 466182085842.

248580281664 is a `hidden beast` number, since 2 + 48 + 580 + 2 + 8 + 16 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248580281664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132858649 + ... + 132860519.

It is an arithmetic number, because the mean of its divisors is an integer number (2494172304).

Almost surely, 2^248580281664 is an apocalyptic number.

248580281664 is a gapful number since it is divisible by the number (24) 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 248580281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419020947072).

248580281664 is an abundant number, since it is smaller than the sum of its proper divisors (589461612480).

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

248580281664 is a wasteful number, since it uses less digits than its factorization.

248580281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 248580281664 in words is "two hundred forty-eight billion, five hundred eighty million, two hundred eighty-one thousand, six hundred sixty-four".