45649331328 has 192 divisors, whose sum is σ = 134223717600. Its totient is φ = 13697654784.

The previous prime is 45649331327. The next prime is 45649331339. The reversal of 45649331328 is 82313394654.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45649331328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45649331327) 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, 3446703 + ... + 3459921.

Almost surely, 2^45649331328 is an apocalyptic number.

45649331328 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 45649331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67111858800).

45649331328 is an abundant number, since it is smaller than the sum of its proper divisors (88574386272).

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

45649331328 is a wasteful number, since it uses less digits than its factorization.

45649331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13264 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 45649331328 in words is "forty-five billion, six hundred forty-nine million, three hundred thirty-one thousand, three hundred twenty-eight".