248984615664 has 240 divisors, whose sum is σ = 779213460480. Its totient is φ = 76708062720.

The previous prime is 248984615653. The next prime is 248984615713. The reversal of 248984615664 is 466516489842.

248984615664 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 8 + 4 + 61 + 566 + 4 = 666.

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, 2987649 + ... + 3069855.

It is an arithmetic number, because the mean of its divisors is an integer number (3246722752).

Almost surely, 2^248984615664 is an apocalyptic number.

248984615664 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 248984615664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389606730240).

248984615664 is an abundant number, since it is smaller than the sum of its proper divisors (530228844816).

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

248984615664 is a wasteful number, since it uses less digits than its factorization.

248984615664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82290 (or 82272 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 248984615664 in words is "two hundred forty-eight billion, nine hundred eighty-four million, six hundred fifteen thousand, six hundred sixty-four".