13297943658384 has 2560 divisors, whose sum is σ = 53317730304000. Its totient is φ = 3071996928000.

The previous prime is 13297943658371. The next prime is 13297943658401. The reversal of 13297943658384 is 48385634979231.

It is a happy number.

13297943658384 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 7 + 9 + 4 + 36 + 583 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 89247943942 + ... + 89247944090.

It is an arithmetic number, because the mean of its divisors is an integer number (20827238400).

Almost surely, 2^{13297943658384} is an apocalyptic number.

13297943658384 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 13297943658384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658865152000).

13297943658384 is an abundant number, since it is smaller than the sum of its proper divisors (40019786645616).

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

13297943658384 is a wasteful number, since it uses less digits than its factorization.

13297943658384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 13297943658384 in words is "thirteen trillion, two hundred ninety-seven billion, nine hundred forty-three million, six hundred fifty-eight thousand, three hundred eighty-four".