14091970464000 has 6912 divisors, whose sum is σ = 70197016780800. Its totient is φ = 2759049216000.

The previous prime is 14091970463983. The next prime is 14091970464001. The reversal of 14091970464000 is 46407919041.

14091970464000 is a `hidden beast` number, since 14 + 0 + 9 + 197 + 0 + 46 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is not an unprimeable number, because it can be changed into a prime (14091970464001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 485930015986 + ... + 485930016014.

It is an arithmetic number, because the mean of its divisors is an integer number (10155818400).

Almost surely, 2^{14091970464000} is an apocalyptic number.

14091970464000 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 14091970464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35098508390400).

14091970464000 is an abundant number, since it is smaller than the sum of its proper divisors (56105046316800).

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

14091970464000 is a wasteful number, since it uses less digits than its factorization.

14091970464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14091970464000 in words is "fourteen trillion, ninety-one billion, nine hundred seventy million, four hundred sixty-four thousand".