45862244064 has 480 divisors, whose sum is σ = 167422058496. Its totient is φ = 11992458240.

The previous prime is 45862244059. The next prime is 45862244081. The reversal of 45862244064 is 46044226854.

45862244064 is a `hidden beast` number, since 4 + 586 + 2 + 2 + 4 + 4 + 0 + 64 = 666.

45862244064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29954979 + ... + 29956509.

Almost surely, 2^45862244064 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 45862244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83711029248).

45862244064 is an abundant number, since it is smaller than the sum of its proper divisors (121559814432).

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

45862244064 is a wasteful number, since it uses less digits than its factorization.

45862244064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 45862244064 in words is "forty-five billion, eight hundred sixty-two million, two hundred forty-four thousand, sixty-four".