45336329856 has 160 divisors (see below), whose sum is σ = 142021862400. Its totient is φ = 14316673536.

The previous prime is 45336329839. The next prime is 45336329873. The reversal of 45336329856 is 65892363354.

45336329856 is a `hidden beast` number, since 4 + 533 + 6 + 3 + 29 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45336329839) and next prime (45336329873).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81921 + ... + 312063.

It is an arithmetic number, because the mean of its divisors is an integer number (887636640).

Almost surely, 2^45336329856 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 45336329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71010931200).

45336329856 is an abundant number, since it is smaller than the sum of its proper divisors (96685532544).

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

45336329856 is a wasteful number, since it uses less digits than its factorization.

45336329856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230188 (or 230167 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

It can be divided in two parts, 453363298 and 56, that added together give a palindrome (453363354).

The spelling of 45336329856 in words is "forty-five billion, three hundred thirty-six million, three hundred twenty-nine thousand, eight hundred fifty-six".