45331062912000 has 1232 divisors, whose sum is σ = 175039878933504. Its totient is φ = 11697592320000.

The previous prime is 45331062911947. The next prime is 45331062912001. The reversal of 45331062912000 is 21926013354.

45331062912000 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 1 + 0 + 629 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45331062912001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2892664165 + ... + 2892679835.

Almost surely, 2^{45331062912000} is an apocalyptic number.

45331062912000 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 45331062912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87519939466752).

45331062912000 is an abundant number, since it is smaller than the sum of its proper divisors (129708816021504).

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

45331062912000 is an equidigital number, since it uses as much as digits as its factorization.

45331062912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15712 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 45331062912000 its reverse (21926013354), we get a palindrome (45352988925354).

The spelling of 45331062912000 in words is "forty-five trillion, three hundred thirty-one billion, sixty-two million, nine hundred twelve thousand".