248248893312000 has 4224 divisors, whose sum is σ = 1120783585259520. Its totient is φ = 53569349222400.

The previous prime is 248248893311983. The next prime is 248248893312059. The reversal of 248248893312000 is 213398842842.

248248893312000 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 488 + 9 + 33 + 120 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 445689215722 + ... + 445689216278.

Almost surely, 2^{248248893312000} is an apocalyptic number.

248248893312000 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 248248893312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560391792629760).

248248893312000 is an abundant number, since it is smaller than the sum of its proper divisors (872534691947520).

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

248248893312000 is an equidigital number, since it uses as much as digits as its factorization.

248248893312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 248248893312000 in words is "two hundred forty-eight trillion, two hundred forty-eight billion, eight hundred ninety-three million, three hundred twelve thousand".