248467180416 has 768 divisors, whose sum is σ = 862146432000. Its totient is φ = 62995968000.

The previous prime is 248467180397. The next prime is 248467180439. The reversal of 248467180416 is 614081764842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1645477941 + ... + 1645478091.

It is an arithmetic number, because the mean of its divisors is an integer number (1122586500).

Almost surely, 2^248467180416 is an apocalyptic number.

248467180416 is a gapful number since it is divisible by the number (26) 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 248467180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431073216000).

248467180416 is an abundant number, since it is smaller than the sum of its proper divisors (613679251584).

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

248467180416 is a wasteful number, since it uses less digits than its factorization.

248467180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 248467180416 in words is "two hundred forty-eight billion, four hundred sixty-seven million, one hundred eighty thousand, four hundred sixteen".