1334683867608 has 384 divisors, whose sum is σ = 4476605253120. Its totient is φ = 349823232000.

The previous prime is 1334683867577. The next prime is 1334683867609. The reversal of 1334683867608 is 8067683864331.

1334683867608 is a `hidden beast` number, since 1 + 33 + 468 + 3 + 86 + 7 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334683867609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1409380591 + ... + 1409381537.

It is an arithmetic number, because the mean of its divisors is an integer number (11657826180).

Almost surely, 2^{1334683867608} is an apocalyptic number.

1334683867608 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 1334683867608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238302626560).

1334683867608 is an abundant number, since it is smaller than the sum of its proper divisors (3141921385512).

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

1334683867608 is a wasteful number, since it uses less digits than its factorization.

1334683867608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 1334683867608 in words is "one trillion, three hundred thirty-four billion, six hundred eighty-three million, eight hundred sixty-seven thousand, six hundred eight".