13962299901312 has 256 divisors, whose sum is σ = 43867002977280. Its totient is φ = 3851804344320.

The previous prime is 13962299901293. The next prime is 13962299901313. The reversal of 13962299901312 is 21310999226931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13962299901313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037133 + ... + 11343219.

It is an arithmetic number, because the mean of its divisors is an integer number (171355480380).

Almost surely, 2^{13962299901312} is an apocalyptic number.

13962299901312 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 13962299901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933501488640).

13962299901312 is an abundant number, since it is smaller than the sum of its proper divisors (29904703075968).

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

13962299901312 is a wasteful number, since it uses less digits than its factorization.

13962299901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306249 (or 1306237 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 57.

The spelling of 13962299901312 in words is "thirteen trillion, nine hundred sixty-two billion, two hundred ninety-nine million, nine hundred one thousand, three hundred twelve".