248228794752000 has 704 divisors, whose sum is σ = 869507825472000. Its totient is φ = 62685344563200.

The previous prime is 248228794751941. The next prime is 248228794752061. The reversal of 248228794752000 is 257497822842.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24069498844 + ... + 24069509156.

It is an arithmetic number, because the mean of its divisors is an integer number (1235096343000).

Almost surely, 2^{248228794752000} is an apocalyptic number.

248228794752000 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 248228794752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434753912736000).

248228794752000 is an abundant number, since it is smaller than the sum of its proper divisors (621279030720000).

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

248228794752000 is a wasteful number, since it uses less digits than its factorization.

248228794752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 248228794752000 in words is "two hundred forty-eight trillion, two hundred twenty-eight billion, seven hundred ninety-four million, seven hundred fifty-two thousand".