10396782144 has 168 divisors, whose sum is σ = 34978693568. Its totient is φ = 2890183680.

The previous prime is 10396782113. The next prime is 10396782163. The reversal of 10396782144 is 44128769301.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 10396782144.

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, 114339 + ... + 184029.

Almost surely, 2^10396782144 is an apocalyptic number.

10396782144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10396782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17489346784).

10396782144 is an abundant number, since it is smaller than the sum of its proper divisors (24581911424).

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

10396782144 is a wasteful number, since it uses less digits than its factorization.

10396782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69753 (or 69740 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10396782144 in words is "ten billion, three hundred ninety-six million, seven hundred eighty-two thousand, one hundred forty-four".