45076576000 has 144 divisors (see below), whose sum is σ = 113159094048. Its totient is φ = 17891328000.

The previous prime is 45076575997. The next prime is 45076576001. The reversal of 45076576000 is 67567054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45076576001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4186624 + ... + 4197376.

It is an arithmetic number, because the mean of its divisors is an integer number (785827042).

Almost surely, 2^45076576000 is an apocalyptic number.

45076576000 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 45076576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56579547024).

45076576000 is an abundant number, since it is smaller than the sum of its proper divisors (68082518048).

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

45076576000 is a wasteful number, since it uses less digits than its factorization.

45076576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 45076576000 in words is "forty-five billion, seventy-six million, five hundred seventy-six thousand".