48090443264640 has 2048 divisors, whose sum is σ = 206596472832000. Its totient is φ = 10341836144640.

The previous prime is 48090443264599. The next prime is 48090443264687. The reversal of 48090443264640 is 4646234409084.

It is a happy number.

48090443264640 is a `hidden beast` number, since 4 + 8 + 0 + 90 + 4 + 432 + 64 + 64 + 0 = 666.

It is a super-3 number, since 3×48090443264640³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19847478469 + ... + 19847480891.

It is an arithmetic number, because the mean of its divisors is an integer number (100877184000).

Almost surely, 2^{48090443264640} is an apocalyptic number.

48090443264640 is a gapful number since it is divisible by the number (40) 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 48090443264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103298236416000).

48090443264640 is an abundant number, since it is smaller than the sum of its proper divisors (158506029567360).

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

48090443264640 is a wasteful number, since it uses less digits than its factorization.

48090443264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 48090443264640 in words is "forty-eight trillion, ninety billion, four hundred forty-three million, two hundred sixty-four thousand, six hundred forty".