45016782408 has 192 divisors, whose sum is σ = 141381676800. Its totient is φ = 12815308800.

The previous prime is 45016782397. The next prime is 45016782427. The reversal of 45016782408 is 80428761054.

45016782408 is a `hidden beast` number, since 4 + 5 + 0 + 167 + 82 + 408 = 666.

45016782408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914833 + ... + 962783.

It is an arithmetic number, because the mean of its divisors is an integer number (736362900).

Almost surely, 2^45016782408 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 45016782408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70690838400).

45016782408 is an abundant number, since it is smaller than the sum of its proper divisors (96364894392).

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

45016782408 is a wasteful number, since it uses less digits than its factorization.

45016782408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48052 (or 48045 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 45016782408 in words is "forty-five billion, sixteen million, seven hundred eighty-two thousand, four hundred eight".