248561913600 has 2160 divisors, whose sum is σ = 1236540856320. Its totient is φ = 47576678400.

The previous prime is 248561913553. The next prime is 248561913637. The reversal of 248561913600 is 6319165842.

248561913600 is a `hidden beast` number, since 24 + 8 + 5 + 6 + 1 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 518918161 + ... + 518918639.

Almost surely, 2^248561913600 is an apocalyptic number.

248561913600 is a gapful number since it is divisible by the number (20) 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 248561913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618270428160).

248561913600 is an abundant number, since it is smaller than the sum of its proper divisors (987978942720).

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

248561913600 is a wasteful number, since it uses less digits than its factorization.

248561913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 248561913600 in words is "two hundred forty-eight billion, five hundred sixty-one million, nine hundred thirteen thousand, six hundred".