45642888192 has 528 divisors, whose sum is σ = 146780315136. Its totient is φ = 12543590400.

The previous prime is 45642888173. The next prime is 45642888217. The reversal of 45642888192 is 29188824654.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195892108 + ... + 195892340.

Almost surely, 2^45642888192 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 45642888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73390157568).

45642888192 is an abundant number, since it is smaller than the sum of its proper divisors (101137426944).

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

45642888192 is a wasteful number, since it uses less digits than its factorization.

45642888192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 297 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 45642888192 in words is "forty-five billion, six hundred forty-two million, eight hundred eighty-eight thousand, one hundred ninety-two".