248045690880 has 1008 divisors, whose sum is σ = 975089422944. Its totient is φ = 60197437440.

The previous prime is 248045690857. The next prime is 248045690939. The reversal of 248045690880 is 88096540842.

248045690880 is a `hidden beast` number, since 24 + 8 + 0 + 456 + 90 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3493601245 + ... + 3493601315.

It is an arithmetic number, because the mean of its divisors is an integer number (967350618).

Almost surely, 2^248045690880 is an apocalyptic number.

248045690880 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 248045690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487544711472).

248045690880 is an abundant number, since it is smaller than the sum of its proper divisors (727043732064).

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

248045690880 is an frugal number, since it uses more digits than its factorization.

248045690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 248045690880 in words is "two hundred forty-eight billion, forty-five million, six hundred ninety thousand, eight hundred eighty".