13403145168 has 480 divisors, whose sum is σ = 47966929920. Its totient is φ = 3535902720.

The previous prime is 13403145137. The next prime is 13403145199. The reversal of 13403145168 is 86154130431.

13403145168 is a `hidden beast` number, since 134 + 0 + 3 + 1 + 4 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13403145137) and next prime (13403145199).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27297403 + ... + 27297893.

It is an arithmetic number, because the mean of its divisors is an integer number (99931104).

Almost surely, 2^13403145168 is an apocalyptic number.

13403145168 is a gapful number since it is divisible by the number (18) 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 13403145168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23983464960).

13403145168 is an abundant number, since it is smaller than the sum of its proper divisors (34563784752).

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

13403145168 is a wasteful number, since it uses less digits than its factorization.

13403145168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13403145168 its reverse (86154130431), we get a palindrome (99557275599).

The spelling of 13403145168 in words is "thirteen billion, four hundred three million, one hundred forty-five thousand, one hundred sixty-eight".