45131635264 has 56 divisors (see below), whose sum is σ = 91541544120. Its totient is φ = 22068793344.

The previous prime is 45131635243. The next prime is 45131635279. The reversal of 45131635264 is 46253613154.

It can be written as a sum of positive squares in 4 ways, for example, as 8193870400 + 36937764864 = 90520^2 + 192192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040442 + ... + 1082950.

Almost surely, 2^45131635264 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 45131635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770772060).

45131635264 is an abundant number, since it is smaller than the sum of its proper divisors (46409908856).

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

45131635264 is a wasteful number, since it uses less digits than its factorization.

45131635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42887 (or 42877 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The spelling of 45131635264 in words is "forty-five billion, one hundred thirty-one million, six hundred thirty-five thousand, two hundred sixty-four".