45079541664 has 192 divisors, whose sum is σ = 127820851200. Its totient is φ = 13868070912.

The previous prime is 45079541651. The next prime is 45079541677. The reversal of 45079541664 is 46614597054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45079541651) and next prime (45079541677).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11049577 + ... + 11053655.

It is an arithmetic number, because the mean of its divisors is an integer number (665733600).

Almost surely, 2^45079541664 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 45079541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63910425600).

45079541664 is an abundant number, since it is smaller than the sum of its proper divisors (82741309536).

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

45079541664 is a wasteful number, since it uses less digits than its factorization.

45079541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 45079541664 in words is "forty-five billion, seventy-nine million, five hundred forty-one thousand, six hundred sixty-four".