48093646906624 has 288 divisors, whose sum is σ = 108356864458752. Its totient is φ = 21118884864000.

The previous prime is 48093646906619. The next prime is 48093646906633. The reversal of 48093646906624 is 42660964639084.

It is a super-3 number, since 3×48093646906624³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a self number, because there is not a number n which added to its sum of digits gives 48093646906624.

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, 2558571594 + ... + 2558590390.

It is an arithmetic number, because the mean of its divisors is an integer number (376239112704).

Almost surely, 2^{48093646906624} is an apocalyptic number.

48093646906624 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 48093646906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54178432229376).

48093646906624 is an abundant number, since it is smaller than the sum of its proper divisors (60263217552128).

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

48093646906624 is a wasteful number, since it uses less digits than its factorization.

48093646906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19153 (or 19139 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 67.

The spelling of 48093646906624 in words is "forty-eight trillion, ninety-three billion, six hundred forty-six million, nine hundred six thousand, six hundred twenty-four".