248446314564 has 192 divisors, whose sum is σ = 731602206720. Its totient is φ = 63986319360.

The previous prime is 248446314517. The next prime is 248446314577. The reversal of 248446314564 is 465413644842.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 4265067 + ... + 4322925.

It is an arithmetic number, because the mean of its divisors is an integer number (3810428160).

Almost surely, 2^248446314564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248446314564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365801103360).

248446314564 is an abundant number, since it is smaller than the sum of its proper divisors (483155892156).

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

248446314564 is a wasteful number, since it uses less digits than its factorization.

248446314564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58018 (or 58016 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 51.

The spelling of 248446314564 in words is "two hundred forty-eight billion, four hundred forty-six million, three hundred fourteen thousand, five hundred sixty-four".