13342998149712 has 720 divisors, whose sum is σ = 50221750334400. Its totient is φ = 3353860339200.

The previous prime is 13342998149687. The next prime is 13342998149753. The reversal of 13342998149712 is 21794189924331.

13342998149712 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 9 + 98 + 1 + 497 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13342998149712.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 223737114 + ... + 223796742.

It is an arithmetic number, because the mean of its divisors is an integer number (69752431020).

Almost surely, 2^{13342998149712} is an apocalyptic number.

13342998149712 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 13342998149712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110875167200).

13342998149712 is an abundant number, since it is smaller than the sum of its proper divisors (36878752184688).

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

13342998149712 is a wasteful number, since it uses less digits than its factorization.

13342998149712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59733 (or 59683 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 13342998149712 in words is "thirteen trillion, three hundred forty-two billion, nine hundred ninety-eight million, one hundred forty-nine thousand, seven hundred twelve".