248974054728 has 256 divisors, whose sum is σ = 754389504000. Its totient is φ = 66961327104.

The previous prime is 248974054691. The next prime is 248974054739. The reversal of 248974054728 is 827450479842.

It is a Cunningham number, because it is equal to 498973²-1.

It is a super-2 number, since 2×248974054728² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202582018 + ... + 202583246.

It is an arithmetic number, because the mean of its divisors is an integer number (2946834000).

Almost surely, 2^248974054728 is an apocalyptic number.

248974054728 is a gapful number since it is divisible by the number (28) 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 248974054728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377194752000).

248974054728 is an abundant number, since it is smaller than the sum of its proper divisors (505415449272).

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

248974054728 is a wasteful number, since it uses less digits than its factorization.

248974054728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 248974054728 in words is "two hundred forty-eight billion, nine hundred seventy-four million, fifty-four thousand, seven hundred twenty-eight".