13468287690 has 192 divisors, whose sum is σ = 42427774080. Its totient is φ = 3013770240.

The previous prime is 13468287671. The next prime is 13468287709. The reversal of 13468287690 is 9678286431.

13468287690 is a `hidden beast` number, since 1 + 3 + 468 + 28 + 76 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (13468287671) and next prime (13468287709).

It is a super-2 number, since 2×13468287690² (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 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, 488514 + ... + 515346.

It is an arithmetic number, because the mean of its divisors is an integer number (220977990).

Almost surely, 2^13468287690 is an apocalyptic number.

13468287690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468287690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213887040).

13468287690 is an abundant number, since it is smaller than the sum of its proper divisors (28959486390).

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

13468287690 is a wasteful number, since it uses less digits than its factorization.

13468287690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26886 (or 26867 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13468287690 in words is "thirteen billion, four hundred sixty-eight million, two hundred eighty-seven thousand, six hundred ninety".