14213629988964 has 120 divisors (see below), whose sum is σ = 42599375501760. Its totient is φ = 4048226092224.

The previous prime is 14213629988953. The next prime is 14213629988981. The reversal of 14213629988964 is 46988992631241.

14213629988964 is a `hidden beast` number, since 1 + 42 + 1 + 362 + 9 + 98 + 89 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14213629988892 and 14213629988901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9165954 + ... + 10603865.

It is an arithmetic number, because the mean of its divisors is an integer number (354994795848).

Almost surely, 2^{14213629988964} is an apocalyptic number.

14213629988964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14213629988964 is an abundant number, since it is smaller than the sum of its proper divisors (28385745512796).

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

14213629988964 is a wasteful number, since it uses less digits than its factorization.

14213629988964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19770159 (or 19770148 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 14213629988964 in words is "fourteen trillion, two hundred thirteen billion, six hundred twenty-nine million, nine hundred eighty-eight thousand, nine hundred sixty-four".