45829959888384 has 320 divisors, whose sum is σ = 155264441249280. Its totient is φ = 13075305431040.

The previous prime is 45829959888353. The next prime is 45829959888409. The reversal of 45829959888384 is 48388895992854.

45829959888384 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 9 + 9 + 598 + 8 + 8 + 3 + 8 + 4 = 666.

45829959888384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45829959888294 and 45829959888303.

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 31 ways as a sum of consecutive naturals, for example, 66523992 + ... + 67209384.

It is an arithmetic number, because the mean of its divisors is an integer number (485201378904).

Almost surely, 2^{45829959888384} 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 45829959888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77632220624640).

45829959888384 is an abundant number, since it is smaller than the sum of its proper divisors (109434481360896).

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

45829959888384 is an equidigital number, since it uses as much as digits as its factorization.

45829959888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686118 (or 686096 counting only the distinct ones).

The product of its digits is 57330892800, while the sum is 90.

The spelling of 45829959888384 in words is "forty-five trillion, eight hundred twenty-nine billion, nine hundred fifty-nine million, eight hundred eighty-eight thousand, three hundred eighty-four".