248766709464 has 320 divisors, whose sum is σ = 875827814400. Its totient is φ = 64212155136.

The previous prime is 248766709403. The next prime is 248766709487. The reversal of 248766709464 is 464907667842.

248766709464 is a `hidden beast` number, since 2 + 48 + 7 + 66 + 70 + 9 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2726617 + ... + 2816375.

It is an arithmetic number, because the mean of its divisors is an integer number (2736961920).

Almost surely, 2^248766709464 is an apocalyptic number.

248766709464 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 248766709464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437913907200).

248766709464 is an abundant number, since it is smaller than the sum of its proper divisors (627061104936).

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

248766709464 is a wasteful number, since it uses less digits than its factorization.

248766709464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89844 (or 89831 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 248766709464 in words is "two hundred forty-eight billion, seven hundred sixty-six million, seven hundred nine thousand, four hundred sixty-four".