13149483066720 has 4608 divisors, whose sum is σ = 66107237253120. Its totient is φ = 2426709196800.

The previous prime is 13149483066677. The next prime is 13149483066763. The reversal of 13149483066720 is 2766038494131.

13149483066720 is a `hidden beast` number, since 1 + 3 + 1 + 494 + 83 + 0 + 6 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13149483066677) and next prime (13149483066763).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 76008572554 + ... + 76008572726.

It is an arithmetic number, because the mean of its divisors is an integer number (14346188640).

Almost surely, 2^{13149483066720} is an apocalyptic number.

13149483066720 is a gapful number since it is divisible by the number (10) 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 13149483066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053618626560).

13149483066720 is an abundant number, since it is smaller than the sum of its proper divisors (52957754186400).

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

13149483066720 is a wasteful number, since it uses less digits than its factorization.

13149483066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13149483066720 in words is "thirteen trillion, one hundred forty-nine billion, four hundred eighty-three million, sixty-six thousand, seven hundred twenty".