48358633685384 has 64 divisors (see below), whose sum is σ = 99831396188160. Its totient is φ = 21778115768640.

The previous prime is 48358633685347. The next prime is 48358633685423.

It is a happy number.

48358633685384 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48358633685384² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149019 + ... + 11100885.

It is an arithmetic number, because the mean of its divisors is an integer number (1559865565440).

Almost surely, 2^{48358633685384} is an apocalyptic number.

48358633685384 is a gapful number since it is divisible by the number (44) 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 48358633685384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49915698094080).

48358633685384 is an abundant number, since it is smaller than the sum of its proper divisors (51472762502776).

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

48358633685384 is a wasteful number, since it uses less digits than its factorization.

48358633685384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952738 (or 5952734 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 74.

The spelling of 48358633685384 in words is "forty-eight trillion, three hundred fifty-eight billion, six hundred thirty-three million, six hundred eighty-five thousand, three hundred eighty-four".