44145663012100 has 432 divisors, whose sum is σ = 111066800019840. Its totient is φ = 15185628057600.

The previous prime is 44145663012067. The next prime is 44145663012103. The reversal of 44145663012100 is 121036654144.

It is a self number, because there is not a number n which added to its sum of digits gives 44145663012100.

It is not an unprimeable number, because it can be changed into a prime (44145663012103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11299118347 + ... + 11299122253.

It is an arithmetic number, because the mean of its divisors is an integer number (257099074120).

Almost surely, 2^{44145663012100} 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 44145663012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55533400009920).

44145663012100 is an abundant number, since it is smaller than the sum of its proper divisors (66921137007740).

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

44145663012100 is a wasteful number, since it uses less digits than its factorization.

44145663012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 44145663012100 its reverse (121036654144), we get a palindrome (44266699666244).

The spelling of 44145663012100 in words is "forty-four trillion, one hundred forty-five billion, six hundred sixty-three million, twelve thousand, one hundred".