45834961536000 has 2816 divisors, whose sum is σ = 220788495083520. Its totient is φ = 9100748390400.

The previous prime is 45834961535959. The next prime is 45834961536031. The reversal of 45834961536000 is 63516943854.

45834961536000 is a `hidden beast` number, since 4 + 5 + 8 + 3 + 49 + 61 + 536 + 0 + 0 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 5346427714 + ... + 5346436286.

Almost surely, 2^{45834961536000} is an apocalyptic number.

45834961536000 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 45834961536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110394247541760).

45834961536000 is an abundant number, since it is smaller than the sum of its proper divisors (174953533547520).

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

45834961536000 is a wasteful number, since it uses less digits than its factorization.

45834961536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 45834961536000 in words is "forty-five trillion, eight hundred thirty-four billion, nine hundred sixty-one million, five hundred thirty-six thousand".