248537382912 has 960 divisors, whose sum is σ = 935439774360. Its totient is φ = 65548320768.

The previous prime is 248537382857. The next prime is 248537382931. The reversal of 248537382912 is 219283735842.

248537382912 is a `hidden beast` number, since 2 + 48 + 537 + 38 + 29 + 12 = 666.

It is a super-2 number, since 2×248537382912² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19118260218 + ... + 19118260230.

Almost surely, 2^248537382912 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 248537382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467719887180).

248537382912 is an abundant number, since it is smaller than the sum of its proper divisors (686902391448).

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

248537382912 is an frugal number, since it uses more digits than its factorization.

248537382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 248537382912 in words is "two hundred forty-eight billion, five hundred thirty-seven million, three hundred eighty-two thousand, nine hundred twelve".