45673334784 has 768 divisors, whose sum is σ = 178885324800. Its totient is φ = 11147673600.

The previous prime is 45673334753. The next prime is 45673334797. The reversal of 45673334784 is 48743337654.

45673334784 is a `hidden beast` number, since 4 + 567 + 3 + 3 + 3 + 4 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45673334784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72382149 + ... + 72382779.

It is an arithmetic number, because the mean of its divisors is an integer number (232923600).

Almost surely, 2^45673334784 is an apocalyptic number.

45673334784 is a gapful number since it is divisible by the number (44) 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 45673334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89442662400).

45673334784 is an abundant number, since it is smaller than the sum of its proper divisors (133211990016).

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

45673334784 is a wasteful number, since it uses less digits than its factorization.

45673334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 671 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 45673334784 in words is "forty-five billion, six hundred seventy-three million, three hundred thirty-four thousand, seven hundred eighty-four".