45538668864 has 168 divisors, whose sum is σ = 141188170760. Its totient is φ = 13950185472.

The previous prime is 45538668841. The next prime is 45538668887. The reversal of 45538668864 is 46886683554.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45538668841) and next prime (45538668887).

It can be written as a sum of positive squares in 4 ways, for example, as 8026726464 + 37511942400 = 89592^2 + 193680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701474 + ... + 1728030.

Almost surely, 2^45538668864 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 45538668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70594085380).

45538668864 is an abundant number, since it is smaller than the sum of its proper divisors (95649501896).

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

45538668864 is a wasteful number, since it uses less digits than its factorization.

45538668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26817 (or 26804 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 45538668864 in words is "forty-five billion, five hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred sixty-four".