13970664972 has 384 divisors, whose sum is σ = 42939187200. Its totient is φ = 3886444800.

The previous prime is 13970664893. The next prime is 13970664979. The reversal of 13970664972 is 27946607931.

It is a happy number.

13970664972 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 66 + 497 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13970664979) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110005173 + ... + 110005299.

It is an arithmetic number, because the mean of its divisors is an integer number (111820800).

Almost surely, 2^13970664972 is an apocalyptic number.

13970664972 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 13970664972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469593600).

13970664972 is an abundant number, since it is smaller than the sum of its proper divisors (28968522228).

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

13970664972 is a wasteful number, since it uses less digits than its factorization.

13970664972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13970664972 in words is "thirteen billion, nine hundred seventy million, six hundred sixty-four thousand, nine hundred seventy-two".