45446626000 has 40 divisors (see below), whose sum is σ = 109889946504. Its totient is φ = 18178649600.

The previous prime is 45446625953. The next prime is 45446626051. The reversal of 45446626000 is 62664454.

It can be written as a sum of positive squares in 4 ways, for example, as 10191306304 + 35255319696 = 100952^2 + 187764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11359657 + ... + 11363656.

Almost surely, 2^45446626000 is an apocalyptic number.

45446626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45446626000 is an abundant number, since it is smaller than the sum of its proper divisors (64443320504).

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

45446626000 is a wasteful number, since it uses less digits than its factorization.

45446626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22723336 (or 22723320 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 45446626000 in words is "forty-five billion, four hundred forty-six million, six hundred twenty-six thousand".