45383838354 has 64 divisors (see below), whose sum is σ = 103962009600. Its totient is φ = 14667612624.

The previous prime is 45383838317. The next prime is 45383838377.

It is a happy number.

45383838354 is a `hidden beast` number, since 453 + 83 + 83 + 8 + 35 + 4 = 666.

45383838354 is nontrivially palindromic in base 10.

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 45383838354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188007 + ... + 355125.

It is an arithmetic number, because the mean of its divisors is an integer number (1624406400).

Almost surely, 2^45383838354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45383838354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51981004800).

45383838354 is an abundant number, since it is smaller than the sum of its proper divisors (58578171246).

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

45383838354 is a wasteful number, since it uses less digits than its factorization.

45383838354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167284 (or 167278 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 45383838354 in words is "forty-five billion, three hundred eighty-three million, eight hundred thirty-eight thousand, three hundred fifty-four".