13146197256192 has 1536 divisors, whose sum is σ = 49529949880320. Its totient is φ = 2990407680000.

The previous prime is 13146197256151. The next prime is 13146197256209. The reversal of 13146197256192 is 29165279164131.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10104685942 + ... + 10104687242.

It is an arithmetic number, because the mean of its divisors is an integer number (32246061120).

Almost surely, 2^{13146197256192} is an apocalyptic number.

13146197256192 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 13146197256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764974940160).

13146197256192 is an abundant number, since it is smaller than the sum of its proper divisors (36383752624128).

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

13146197256192 is a wasteful number, since it uses less digits than its factorization.

13146197256192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1421 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The spelling of 13146197256192 in words is "thirteen trillion, one hundred forty-six billion, one hundred ninety-seven million, two hundred fifty-six thousand, one hundred ninety-two".