10188946944 has 240 divisors, whose sum is σ = 32632554240. Its totient is φ = 3034337280.

The previous prime is 10188946877. The next prime is 10188946967. The reversal of 10188946944 is 44964988101.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2988889 + ... + 2992295.

It is an arithmetic number, because the mean of its divisors is an integer number (135968976).

Almost surely, 2^10188946944 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 10188946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316277120).

10188946944 is an abundant number, since it is smaller than the sum of its proper divisors (22443607296).

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

10188946944 is a wasteful number, since it uses less digits than its factorization.

10188946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10188946944 in words is "ten billion, one hundred eighty-eight million, nine hundred forty-six thousand, nine hundred forty-four".