45784992000000 has 1344 divisors, whose sum is σ = 168056648847360. Its totient is φ = 10992640000000.

The previous prime is 45784991999953. The next prime is 45784992000049. The reversal of 45784992000000 is 29948754.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 201695999887 + ... + 201696000113.

It is an arithmetic number, because the mean of its divisors is an integer number (125042149440).

Almost surely, 2^{45784992000000} is an apocalyptic number.

45784992000000 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 45784992000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84028324423680).

45784992000000 is an abundant number, since it is smaller than the sum of its proper divisors (122271656847360).

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

45784992000000 is an equidigital number, since it uses as much as digits as its factorization.

45784992000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 45784992000000 in words is "forty-five trillion, seven hundred eighty-four billion, nine hundred ninety-two million", and thus it is an aban number.