248945374080 has 768 divisors, whose sum is σ = 976793126400. Its totient is φ = 60211372032.

The previous prime is 248945374063. The next prime is 248945374081. The reversal of 248945374080 is 80473549842.

248945374080 is a `hidden beast` number, since 2 + 48 + 9 + 453 + 74 + 0 + 80 = 666.

It is a super-2 number, since 2×248945374080² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248945374081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119282797 + ... + 119284883.

It is an arithmetic number, because the mean of its divisors is an integer number (1271866050).

Almost surely, 2^248945374080 is an apocalyptic number.

248945374080 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 248945374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488396563200).

248945374080 is an abundant number, since it is smaller than the sum of its proper divisors (727847752320).

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

248945374080 is a wasteful number, since it uses less digits than its factorization.

248945374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 248945374080 in words is "two hundred forty-eight billion, nine hundred forty-five million, three hundred seventy-four thousand, eighty".