45632283816 has 256 divisors, whose sum is σ = 136448040960. Its totient is φ = 12446576640.

The previous prime is 45632283803. The next prime is 45632283863. The reversal of 45632283816 is 61838223654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124338465 + ... + 124338831.

It is an arithmetic number, because the mean of its divisors is an integer number (533000160).

Almost surely, 2^45632283816 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 45632283816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68224020480).

45632283816 is an abundant number, since it is smaller than the sum of its proper divisors (90815757144).

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

45632283816 is a wasteful number, since it uses less digits than its factorization.

45632283816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 45632283816 in words is "forty-five billion, six hundred thirty-two million, two hundred eighty-three thousand, eight hundred sixteen".