1349967168 has 448 divisors, whose sum is σ = 4681728000. Its totient is φ = 377395200.

The previous prime is 1349967167. The next prime is 1349967191. The reversal of 1349967168 is 8617699431.

It is a super-2 number, since 2×1349967168² = 3644822709355880448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349967167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17088153 + ... + 17088231.

Almost surely, 2^1349967168 is an apocalyptic number.

1349967168 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 1349967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340864000).

1349967168 is an abundant number, since it is smaller than the sum of its proper divisors (3331760832).

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

1349967168 is a wasteful number, since it uses less digits than its factorization.

1349967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1349967168 is about 36741.8993521021. The cubic root of 1349967168 is about 1105.2004899549.

The spelling of 1349967168 in words is "one billion, three hundred forty-nine million, nine hundred sixty-seven thousand, one hundred sixty-eight".