45236819628 has 768 divisors, whose sum is σ = 166905446400. Its totient is φ = 10215797760.

The previous prime is 45236819611. The next prime is 45236819629. The reversal of 45236819628 is 82691863254.

45236819628 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 6 + 8 + 1 + 9 + 628 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45236819629) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147351051 + ... + 147351357.

It is an arithmetic number, because the mean of its divisors is an integer number (217324800).

Almost surely, 2^45236819628 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 45236819628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83452723200).

45236819628 is an abundant number, since it is smaller than the sum of its proper divisors (121668626772).

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

45236819628 is a wasteful number, since it uses less digits than its factorization.

45236819628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 45236819628 in words is "forty-five billion, two hundred thirty-six million, eight hundred nineteen thousand, six hundred twenty-eight".