248378557335816 has 128 divisors (see below), whose sum is σ = 639928307145600. Its totient is φ = 80304697313280.

The previous prime is 248378557335761. The next prime is 248378557335871. The reversal of 248378557335816 is 618533755873842.

It is an interprime number because it is at equal distance from previous prime (248378557335761) and next prime (248378557335871).

It is a super-2 number, since 2×248378557335816² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46045095 + ... + 51155721.

It is an arithmetic number, because the mean of its divisors is an integer number (4999439899575).

Almost surely, 2^{248378557335816} 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 248378557335816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319964153572800).

248378557335816 is an abundant number, since it is smaller than the sum of its proper divisors (391549749809784).

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

248378557335816 is a wasteful number, since it uses less digits than its factorization.

248378557335816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111159 (or 5111155 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 75.

The spelling of 248378557335816 in words is "two hundred forty-eight trillion, three hundred seventy-eight billion, five hundred fifty-seven million, three hundred thirty-five thousand, eight hundred sixteen".