248385023661600 has 864 divisors, whose sum is σ = 1099128183543936. Its totient is φ = 53434084147200.

The previous prime is 248385023661569. The next prime is 248385023661613. The reversal of 248385023661600 is 6166320583842.

248385023661600 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 8 + 5 + 0 + 23 + 6 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 17765110 + ... + 28502090.

It is an arithmetic number, because the mean of its divisors is an integer number (1272139101324).

Almost surely, 2^{248385023661600} is an apocalyptic number.

248385023661600 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 248385023661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549564091771968).

248385023661600 is an abundant number, since it is smaller than the sum of its proper divisors (850743159882336).

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

248385023661600 is a wasteful number, since it uses less digits than its factorization.

248385023661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737040 (or 10737015 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 248385023661600 in words is "two hundred forty-eight trillion, three hundred eighty-five billion, twenty-three million, six hundred sixty-one thousand, six hundred".