45042450432 has 480 divisors, whose sum is σ = 146561286144. Its totient is φ = 12032409600.

The previous prime is 45042450403. The next prime is 45042450443. The reversal of 45042450432 is 23405424054.

It is a junction number, because it is equal to n+sod(n) for n = 45042450393 and 45042450402.

It is a congruent number.

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, 437305293 + ... + 437305395.

Almost surely, 2^45042450432 is an apocalyptic number.

45042450432 is a gapful number since it is divisible by the number (42) 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 45042450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73280643072).

45042450432 is an abundant number, since it is smaller than the sum of its proper divisors (101518835712).

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

45042450432 is a wasteful number, since it uses less digits than its factorization.

45042450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 45042450432 its reverse (23405424054), we get a palindrome (68447874486).

The spelling of 45042450432 in words is "forty-five billion, forty-two million, four hundred fifty thousand, four hundred thirty-two".