1008149322144 has 24 divisors (see below), whose sum is σ = 2646391970880. Its totient is φ = 336049774016.

The previous prime is 1008149322143. The next prime is 1008149322233. The reversal of 1008149322144 is 4412239418001.

1008149322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1008149322143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5250777624 + ... + 5250777815.

It is an arithmetic number, because the mean of its divisors is an integer number (110266332120).

Almost surely, 2^{1008149322144} is an apocalyptic number.

It is an amenable number.

1008149322144 is an abundant number, since it is smaller than the sum of its proper divisors (1638242648736).

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

1008149322144 is a wasteful number, since it uses less digits than its factorization.

1008149322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501555452 (or 10501555444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1008149322144 in words is "one trillion, eight billion, one hundred forty-nine million, three hundred twenty-two thousand, one hundred forty-four".