45496492032000 has 544 divisors, whose sum is σ = 152008470282240. Its totient is φ = 12084550041600.

The previous prime is 45496492031993. The next prime is 45496492032031. The reversal of 45496492032000 is 23029469454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6463484481 + ... + 6463491519.

Almost surely, 2^{45496492032000} is an apocalyptic number.

45496492032000 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 45496492032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76004235141120).

45496492032000 is an abundant number, since it is smaller than the sum of its proper divisors (106511978250240).

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

45496492032000 is an frugal number, since it uses more digits than its factorization.

45496492032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 45496492032000 in words is "forty-five trillion, four hundred ninety-six billion, four hundred ninety-two million, thirty-two thousand".