45859895136 has 288 divisors, whose sum is σ = 148950337536. Its totient is φ = 13257216000.

The previous prime is 45859895111. The next prime is 45859895153. The reversal of 45859895136 is 63159895854.

45859895136 is a `hidden beast` number, since 4 + 5 + 8 + 598 + 9 + 5 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 6969480 + ... + 6976056.

It is an arithmetic number, because the mean of its divisors is an integer number (517188672).

Almost surely, 2^45859895136 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 45859895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74475168768).

45859895136 is an abundant number, since it is smaller than the sum of its proper divisors (103090442400).

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

45859895136 is a wasteful number, since it uses less digits than its factorization.

45859895136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6695 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 45859895136 in words is "forty-five billion, eight hundred fifty-nine million, eight hundred ninety-five thousand, one hundred thirty-six".