45433395873792 has 384 divisors, whose sum is σ = 137591897788800. Its totient is φ = 14809369411584.

The previous prime is 45433395873791. The next prime is 45433395873841. The reversal of 45433395873792 is 29737859333454.

It is a happy number.

45433395873792 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 3 + 3 + 9 + 587 + 37 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45433395873792.

It is not an unprimeable number, because it can be changed into a prime (45433395873791) 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, 507517228 + ... + 507606740.

It is an arithmetic number, because the mean of its divisors is an integer number (358312233825).

Almost surely, 2^{45433395873792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45433395873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68795948894400).

45433395873792 is an abundant number, since it is smaller than the sum of its proper divisors (92158501915008).

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

45433395873792 is a wasteful number, since it uses less digits than its factorization.

45433395873792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89748 (or 89722 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 45433395873792 in words is "forty-five trillion, four hundred thirty-three billion, three hundred ninety-five million, eight hundred seventy-three thousand, seven hundred ninety-two".