45993132032000 has 608 divisors, whose sum is σ = 118930034830464. Its totient is φ = 17748197376000.

The previous prime is 45993132031999. The next prime is 45993132032009. The reversal of 45993132032000 is 23023139954.

It is a happy number.

It is a super-2 number, since 2×45993132032000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45993132032009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123305983814 + ... + 123305984186.

Almost surely, 2^{45993132032000} is an apocalyptic number.

45993132032000 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 45993132032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59465017415232).

45993132032000 is an abundant number, since it is smaller than the sum of its proper divisors (72936902798464).

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

45993132032000 is an frugal number, since it uses more digits than its factorization.

45993132032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 45993132032000 in words is "forty-five trillion, nine hundred ninety-three billion, one hundred thirty-two million, thirty-two thousand".