1367114112 has 672 divisors, whose sum is σ = 5337949680. Its totient is φ = 344881152.

The previous prime is 1367114071. The next prime is 1367114113. The reversal of 1367114112 is 2114117631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1008) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1367114113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 59439733 + ... + 59439755.

Almost surely, 2^1367114112 is an apocalyptic number.

1367114112 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 1367114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668974840).

1367114112 is an abundant number, since it is smaller than the sum of its proper divisors (3970835568).

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

1367114112 is an equidigital number, since it uses as much as digits as its factorization.

1367114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1367114112 is about 36974.5062441678. The cubic root of 1367114112 is about 1109.8601430804.

The spelling of 1367114112 in words is "one billion, three hundred sixty-seven million, one hundred fourteen thousand, one hundred twelve".