45475446133344 has 96 divisors (see below), whose sum is σ = 122621611553280. Its totient is φ = 14746114616832.

The previous prime is 45475446133331. The next prime is 45475446133357. The reversal of 45475446133344 is 44333164457454.

It is an interprime number because it is at equal distance from previous prime (45475446133331) and next prime (45475446133357).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18443607 + ... + 20763369.

It is an arithmetic number, because the mean of its divisors is an integer number (1277308453680).

Almost surely, 2^{45475446133344} 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 45475446133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61310805776640).

45475446133344 is an abundant number, since it is smaller than the sum of its proper divisors (77146165419936).

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

45475446133344 is a wasteful number, since it uses less digits than its factorization.

45475446133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325332 (or 2325324 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 57.

The spelling of 45475446133344 in words is "forty-five trillion, four hundred seventy-five billion, four hundred forty-six million, one hundred thirty-three thousand, three hundred forty-four".