1334417112 has 64 divisors (see below), whose sum is σ = 4236249600. Its totient is φ = 381261600.

The previous prime is 1334417111. The next prime is 1334417137. The reversal of 1334417112 is 2117144331.

1334417112 is a `hidden beast` number, since 133 + 4 + 417 + 112 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334417111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439764 + ... + 442787.

It is an arithmetic number, because the mean of its divisors is an integer number (66191400).

Almost surely, 2^1334417112 is an apocalyptic number.

1334417112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1334417112 is an abundant number, since it is smaller than the sum of its proper divisors (2901832488).

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

1334417112 is a wasteful number, since it uses less digits than its factorization.

1334417112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882573 (or 882563 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1334417112 is about 36529.6744031479. The cubic root of 1334417112 is about 1100.9405487280.

The spelling of 1334417112 in words is "one billion, three hundred thirty-four million, four hundred seventeen thousand, one hundred twelve".