45784205161344 has 768 divisors, whose sum is σ = 147422798712000. Its totient is φ = 13981858136064.

The previous prime is 45784205161337. The next prime is 45784205161393. The reversal of 45784205161344 is 44316150248754.

45784205161344 is a `hidden beast` number, since 4 + 5 + 7 + 84 + 2 + 0 + 516 + 1 + 3 + 44 = 666.

45784205161344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68030022192 + ... + 68030022864.

Almost surely, 2^{45784205161344} 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 45784205161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73711399356000).

45784205161344 is an abundant number, since it is smaller than the sum of its proper divisors (101638593550656).

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

45784205161344 is a wasteful number, since it uses less digits than its factorization.

45784205161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 45784205161344 in words is "forty-five trillion, seven hundred eighty-four billion, two hundred five million, one hundred sixty-one thousand, three hundred forty-four".