45766140448 has 96 divisors (see below), whose sum is σ = 105582597120. Its totient is φ = 19118039040.

The previous prime is 45766140401. The next prime is 45766140449. The reversal of 45766140448 is 84404166754.

It is a super-2 number, since 2×45766140448² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45766140449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16153240 + ... + 16156072.

It is an arithmetic number, because the mean of its divisors is an integer number (1099818720).

Almost surely, 2^45766140448 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 45766140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52791298560).

45766140448 is an abundant number, since it is smaller than the sum of its proper divisors (59816456672).

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

45766140448 is a wasteful number, since it uses less digits than its factorization.

45766140448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 45766140448 in words is "forty-five billion, seven hundred sixty-six million, one hundred forty thousand, four hundred forty-eight".