248500101600 has 216 divisors, whose sum is σ = 880431820632. Its totient is φ = 65952230400.

The previous prime is 248500101593. The next prime is 248500101607. The reversal of 248500101600 is 6101005842.

248500101600 is a `hidden beast` number, since 2 + 4 + 8 + 50 + 0 + 1 + 0 + 1 + 600 = 666.

248500101600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248500101593) and next prime (248500101607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248500101607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1437414 + ... + 1600986.

Almost surely, 2^248500101600 is an apocalyptic number.

248500101600 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 248500101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440215910316).

248500101600 is an abundant number, since it is smaller than the sum of its proper divisors (631931719032).

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

248500101600 is a wasteful number, since it uses less digits than its factorization.

248500101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163810 (or 163794 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 248500101600 in words is "two hundred forty-eight billion, five hundred million, one hundred one thousand, six hundred".