45442360600 has 384 divisors, whose sum is σ = 135191347200. Its totient is φ = 13818470400.

The previous prime is 45442360589. The next prime is 45442360609. The reversal of 45442360600 is 606324454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45442360609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134843632 + ... + 134843968.

It is an arithmetic number, because the mean of its divisors is an integer number (352060800).

Almost surely, 2^45442360600 is an apocalyptic number.

45442360600 is a gapful number since it is divisible by the number (40) 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 45442360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67595673600).

45442360600 is an abundant number, since it is smaller than the sum of its proper divisors (89748986600).

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

45442360600 is a wasteful number, since it uses less digits than its factorization.

45442360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 45442360600 in words is "forty-five billion, four hundred forty-two million, three hundred sixty thousand, six hundred".