13214964672000 has 3200 divisors, whose sum is σ = 61378464026880. Its totient is φ = 2751882854400.

The previous prime is 13214964671911. The next prime is 13214964672053. The reversal of 13214964672000 is 27646941231.

13214964672000 is a `hidden beast` number, since 1 + 321 + 4 + 9 + 64 + 67 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51420095872 + ... + 51420096128.

Almost surely, 2^{13214964672000} is an apocalyptic number.

13214964672000 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 13214964672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689232013440).

13214964672000 is an abundant number, since it is smaller than the sum of its proper divisors (48163499354880).

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

13214964672000 is a wasteful number, since it uses less digits than its factorization.

13214964672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13214964672000 in words is "thirteen trillion, two hundred fourteen billion, nine hundred sixty-four million, six hundred seventy-two thousand".