45966643488 has 144 divisors (see below), whose sum is σ = 135462862080. Its totient is φ = 14767861248.

The previous prime is 45966643483. The next prime is 45966643511. The reversal of 45966643488 is 88434666954.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45966643488² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45966643483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5065131 + ... + 5074197.

It is an arithmetic number, because the mean of its divisors is an integer number (940714320).

Almost surely, 2^45966643488 is an apocalyptic number.

45966643488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45966643488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67731431040).

45966643488 is an abundant number, since it is smaller than the sum of its proper divisors (89496218592).

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

45966643488 is a wasteful number, since it uses less digits than its factorization.

45966643488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9708 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 45966643488 in words is "forty-five billion, nine hundred sixty-six million, six hundred forty-three thousand, four hundred eighty-eight".