248561205984 has 960 divisors, whose sum is σ = 973304640000. Its totient is φ = 60385554432.

The previous prime is 248561205983. The next prime is 248561206027. The reversal of 248561205984 is 489502165842.

248561205984 is a `hidden beast` number, since 2 + 4 + 8 + 561 + 20 + 59 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 248561205984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248561205983) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165817267 + ... + 165818765.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859000).

Almost surely, 2^248561205984 is an apocalyptic number.

248561205984 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 248561205984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652320000).

248561205984 is an abundant number, since it is smaller than the sum of its proper divisors (724743434016).

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

248561205984 is a wasteful number, since it uses less digits than its factorization.

248561205984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 248561205984 in words is "two hundred forty-eight billion, five hundred sixty-one million, two hundred five thousand, nine hundred eighty-four".