45504985864 has 128 divisors (see below), whose sum is σ = 100209312000. Its totient is φ = 19190476800.

The previous prime is 45504985859. The next prime is 45504985907. The reversal of 45504985864 is 46858940554.

It is a happy number.

It is a super-3 number, since 3×45504985864³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45504985799 and 45504985808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7207269 + ... + 7213579.

It is an arithmetic number, because the mean of its divisors is an integer number (782885250).

Almost surely, 2^45504985864 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 45504985864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50104656000).

45504985864 is an abundant number, since it is smaller than the sum of its proper divisors (54704326136).

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

45504985864 is a wasteful number, since it uses less digits than its factorization.

45504985864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 58.

The spelling of 45504985864 in words is "forty-five billion, five hundred four million, nine hundred eighty-five thousand, eight hundred sixty-four".