44951808459900 has 144 divisors (see below), whose sum is σ = 130474617090048. Its totient is φ = 11949040224000.

The previous prime is 44951808459889. The next prime is 44951808459907. The reversal of 44951808459900 is 995480815944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44951808459907) 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 47 ways as a sum of consecutive naturals, for example, 136891309 + ... + 137219291.

It is an arithmetic number, because the mean of its divisors is an integer number (906073729792).

Almost surely, 2^{44951808459900} 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 44951808459900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65237308545024).

44951808459900 is an abundant number, since it is smaller than the sum of its proper divisors (85522808630148).

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

44951808459900 is a wasteful number, since it uses less digits than its factorization.

44951808459900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329452 (or 329445 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 44951808459900 in words is "forty-four trillion, nine hundred fifty-one billion, eight hundred eight million, four hundred fifty-nine thousand, nine hundred".