13782168792 has 192 divisors, whose sum is σ = 44673108480. Its totient is φ = 3899135232.

The previous prime is 13782168761. The next prime is 13782168797. The reversal of 13782168792 is 29786128731.

It is a happy number.

It is a super-2 number, since 2×13782168792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782168797) 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, 1396708 + ... + 1406540.

It is an arithmetic number, because the mean of its divisors is an integer number (232672440).

Almost surely, 2^13782168792 is an apocalyptic number.

13782168792 is a gapful number since it is divisible by the number (12) 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 13782168792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336554240).

13782168792 is an abundant number, since it is smaller than the sum of its proper divisors (30890939688).

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

13782168792 is a wasteful number, since it uses less digits than its factorization.

13782168792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9948 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 13782168792 in words is "thirteen billion, seven hundred eighty-two million, one hundred sixty-eight thousand, seven hundred ninety-two".