14147958472704 has 1728 divisors, whose sum is σ = 52763471953920. Its totient is φ = 3699753615360.

The previous prime is 14147958472657. The next prime is 14147958472741. The reversal of 14147958472704 is 40727485974141.

14147958472704 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 7 + 95 + 8 + 472 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158965825492 + ... + 158965825580.

It is an arithmetic number, because the mean of its divisors is an integer number (30534416640).

Almost surely, 2^{14147958472704} is an apocalyptic number.

14147958472704 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 14147958472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381735976960).

14147958472704 is an abundant number, since it is smaller than the sum of its proper divisors (38615513481216).

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

14147958472704 is an frugal number, since it uses more digits than its factorization.

14147958472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 14147958472704 in words is "fourteen trillion, one hundred forty-seven billion, nine hundred fifty-eight million, four hundred seventy-two thousand, seven hundred four".