45782348800 has 66 divisors (see below), whose sum is σ = 113484848918. Its totient is φ = 18312929280.

The previous prime is 45782348789. The next prime is 45782348809. The reversal of 45782348800 is 884328754.

It can be written as a sum of positive squares in 3 ways, for example, as 1028100096 + 44754248704 = 32064^2 + 211552^2 .

It is a super-2 number, since 2×45782348800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45782348809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 868587 + ... + 919786.

Almost surely, 2^45782348800 is an apocalyptic number.

45782348800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45782348800 is an abundant number, since it is smaller than the sum of its proper divisors (67702500118).

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

45782348800 is a wasteful number, since it uses less digits than its factorization.

45782348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788403 (or 1788380 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 45782348800 in words is "forty-five billion, seven hundred eighty-two million, three hundred forty-eight thousand, eight hundred".