45356095840 has 192 divisors, whose sum is σ = 120155918400. Its totient is φ = 16035840000.

The previous prime is 45356095823. The next prime is 45356095843. The reversal of 45356095840 is 4859065354.

45356095840 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 not an unprimeable number, because it can be changed into a prime (45356095843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25182940 + ... + 25184740.

It is an arithmetic number, because the mean of its divisors is an integer number (625812075).

Almost surely, 2^45356095840 is an apocalyptic number.

45356095840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45356095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60077959200).

45356095840 is an abundant number, since it is smaller than the sum of its proper divisors (74799822560).

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

45356095840 is a wasteful number, since it uses less digits than its factorization.

45356095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 45356095840 in words is "forty-five billion, three hundred fifty-six million, ninety-five thousand, eight hundred forty".