248013122400 has 720 divisors, whose sum is σ = 964724191200. Its totient is φ = 61787750400.

The previous prime is 248013122363. The next prime is 248013122407. The reversal of 248013122400 is 4221310842.

248013122400 is a `hidden beast` number, since 248 + 0 + 1 + 3 + 12 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248013122407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 164137645 + ... + 164139155.

It is an arithmetic number, because the mean of its divisors is an integer number (1339894710).

Almost surely, 2^248013122400 is an apocalyptic number.

248013122400 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 248013122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482362095600).

248013122400 is an abundant number, since it is smaller than the sum of its proper divisors (716711068800).

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

248013122400 is a wasteful number, since it uses less digits than its factorization.

248013122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 248013122400 in words is "two hundred forty-eight billion, thirteen million, one hundred twenty-two thousand, four hundred".