1336675610144 has 192 divisors, whose sum is σ = 3088123315200. Its totient is φ = 557717695488.

The previous prime is 1336675610099. The next prime is 1336675610161. The reversal of 1336675610144 is 4410165766331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126095119 + ... + 1126096305.

It is an arithmetic number, because the mean of its divisors is an integer number (16083975600).

Almost surely, 2^{1336675610144} is an apocalyptic number.

1336675610144 is a gapful number since it is divisible by the number (14) 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 1336675610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544061657600).

1336675610144 is an abundant number, since it is smaller than the sum of its proper divisors (1751447705056).

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

1336675610144 is a wasteful number, since it uses less digits than its factorization.

1336675610144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 1336675610144 in words is "one trillion, three hundred thirty-six billion, six hundred seventy-five million, six hundred ten thousand, one hundred forty-four".