248011532496 has 480 divisors, whose sum is σ = 894342758400. Its totient is φ = 62400844800.

The previous prime is 248011532477. The next prime is 248011532497. The reversal of 248011532496 is 694235110842.

248011532496 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 1 + 153 + 2 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248011532497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28837605 + ... + 28846203.

It is an arithmetic number, because the mean of its divisors is an integer number (1863214080).

Almost surely, 2^248011532496 is an apocalyptic number.

248011532496 is a gapful number since it is divisible by the number (26) 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 248011532496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447171379200).

248011532496 is an abundant number, since it is smaller than the sum of its proper divisors (646331225904).

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

248011532496 is a wasteful number, since it uses less digits than its factorization.

248011532496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 248011532496 in words is "two hundred forty-eight billion, eleven million, five hundred thirty-two thousand, four hundred ninety-six".