48364222246384 has 160 divisors (see below), whose sum is σ = 104453164569600. Its totient is φ = 21509719188480.

The previous prime is 48364222246369. The next prime is 48364222246399.

48364222246384 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48364222246369) and next prime (48364222246399).

It is a congruent number.

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, 4287982857 + ... + 4287994135.

It is an arithmetic number, because the mean of its divisors is an integer number (652832278560).

Almost surely, 2^{48364222246384} is an apocalyptic number.

48364222246384 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 48364222246384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52226582284800).

48364222246384 is an abundant number, since it is smaller than the sum of its proper divisors (56088942323216).

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

48364222246384 is a wasteful number, since it uses less digits than its factorization.

48364222246384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14183 (or 14177 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 58.

The spelling of 48364222246384 in words is "forty-eight trillion, three hundred sixty-four billion, two hundred twenty-two million, two hundred forty-six thousand, three hundred eighty-four".