48218096304 has 480 divisors, whose sum is σ = 165758736000. Its totient is φ = 12791955456.

The previous prime is 48218096299. The next prime is 48218096351. The reversal of 48218096304 is 40369081284.

It is a happy number.

48218096304 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 8 + 0 + 9 + 630 + 4 = 666.

It is a super-2 number, since 2×48218096304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48218096304.

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, 117892452 + ... + 117892860.

It is an arithmetic number, because the mean of its divisors is an integer number (345330700).

Almost surely, 2^48218096304 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 48218096304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82879368000).

48218096304 is an abundant number, since it is smaller than the sum of its proper divisors (117540639696).

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

48218096304 is a wasteful number, since it uses less digits than its factorization.

48218096304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48218096304 in words is "forty-eight billion, two hundred eighteen million, ninety-six thousand, three hundred four".