45993433834368 has 512 divisors, whose sum is σ = 145668886272000. Its totient is φ = 14234915635200.

The previous prime is 45993433834349. The next prime is 45993433834379. The reversal of 45993433834368 is 86343833439954.

45993433834368 is a `hidden beast` number, since 4 + 5 + 9 + 93 + 433 + 8 + 3 + 43 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45993433834296 and 45993433834305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6873921903 + ... + 6873928593.

It is an arithmetic number, because the mean of its divisors is an integer number (284509543500).

Almost surely, 2^{45993433834368} is an apocalyptic number.

45993433834368 is a gapful number since it is divisible by the number (48) 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 45993433834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72834443136000).

45993433834368 is an abundant number, since it is smaller than the sum of its proper divisors (99675452437632).

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

45993433834368 is a wasteful number, since it uses less digits than its factorization.

45993433834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8273 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 72.

The spelling of 45993433834368 in words is "forty-five trillion, nine hundred ninety-three billion, four hundred thirty-three million, eight hundred thirty-four thousand, three hundred sixty-eight".