45138823452 has 96 divisors (see below), whose sum is σ = 117886003200. Its totient is φ = 14936031936.

The previous prime is 45138823439. The next prime is 45138823459. The reversal of 45138823452 is 25432883154.

45138823452 is a `hidden beast` number, since 4 + 513 + 8 + 82 + 3 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45138823398 and 45138823407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45138823459) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19892574 + ... + 19894842.

It is an arithmetic number, because the mean of its divisors is an integer number (1227979200).

Almost surely, 2^45138823452 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 45138823452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58943001600).

45138823452 is an abundant number, since it is smaller than the sum of its proper divisors (72747179748).

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

45138823452 is a wasteful number, since it uses less digits than its factorization.

45138823452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3544 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 45138823452 in words is "forty-five billion, one hundred thirty-eight million, eight hundred twenty-three thousand, four hundred fifty-two".