14832274994964 has 192 divisors, whose sum is σ = 45118501908480. Its totient is φ = 4126093845120.

The previous prime is 14832274994947. The next prime is 14832274994969. The reversal of 14832274994964 is 46949947223841.

14832274994964 is a `hidden beast` number, since 1 + 4 + 8 + 32 + 2 + 7 + 499 + 49 + 64 = 666.

It is a super-2 number, since 2×14832274994964² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14832274994892 and 14832274994901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14832274994969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3836017 + ... + 6661799.

It is an arithmetic number, because the mean of its divisors is an integer number (234992197440).

Almost surely, 2^{14832274994964} is an apocalyptic number.

14832274994964 is a gapful number since it is divisible by the number (14) 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 14832274994964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559250954240).

14832274994964 is an abundant number, since it is smaller than the sum of its proper divisors (30286226913516).

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

14832274994964 is a wasteful number, since it uses less digits than its factorization.

14832274994964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825987 (or 2825979 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 14832274994964 in words is "fourteen trillion, eight hundred thirty-two billion, two hundred seventy-four million, nine hundred ninety-four thousand, nine hundred sixty-four".