45643776 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 12976128.

The previous prime is 45643733. The next prime is 45643777. The reversal of 45643776 is 67734654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (423360) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45643777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984501 + ... + 1984523.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^45643776 is an apocalyptic number.

45643776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45643776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

45643776 is an abundant number, since it is smaller than the sum of its proper divisors (95879424).

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

45643776 is a wasteful number, since it uses less digits than its factorization.

45643776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 45643776 is about 6756.0177619660. The cubic root of 45643776 is about 357.3774852006.

The spelling of 45643776 in words is "forty-five million, six hundred forty-three thousand, seven hundred seventy-six".