13973324064 has 48 divisors (see below), whose sum is σ = 41919974208. Its totient is φ = 3992378112.

The previous prime is 13973324017. The next prime is 13973324081. The reversal of 13973324064 is 46042337931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13973324064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10396147 + ... + 10397490.

It is an arithmetic number, because the mean of its divisors is an integer number (873332796).

Almost surely, 2^13973324064 is an apocalyptic number.

13973324064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13973324064 is an abundant number, since it is smaller than the sum of its proper divisors (27946650144).

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

13973324064 is a wasteful number, since it uses less digits than its factorization.

13973324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793657 (or 20793649 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 13973324064 in words is "thirteen billion, nine hundred seventy-three million, three hundred twenty-four thousand, sixty-four".