45684408042 has 480 divisors, whose sum is σ = 133505788416. Its totient is φ = 11202105600.

The previous prime is 45684408041. The next prime is 45684408109. The reversal of 45684408042 is 24080448654.

45684408042 is a `hidden beast` number, since 4 + 568 + 4 + 4 + 0 + 80 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45684408041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 748924692 + ... + 748924752.

Almost surely, 2^45684408042 is an apocalyptic number.

45684408042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45684408042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66752894208).

45684408042 is an abundant number, since it is smaller than the sum of its proper divisors (87821380374).

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

45684408042 is a wasteful number, since it uses less digits than its factorization.

45684408042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 45684408042 in words is "forty-five billion, six hundred eighty-four million, four hundred eight thousand, forty-two".