14672293706070 has 3456 divisors, whose sum is σ = 59496101683200. Its totient is φ = 2580142118400.

The previous prime is 14672293706053. The next prime is 14672293706099. The reversal of 14672293706070 is 7060739227641.

14672293706070 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 2 + 29 + 3 + 7 + 0 + 607 + 0 = 666.

14672293706070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14672293705998 and 14672293706016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 473299796955 + ... + 473299796985.

It is an arithmetic number, because the mean of its divisors is an integer number (17215307200).

Almost surely, 2^{14672293706070} is an apocalyptic number.

14672293706070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14672293706070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748050841600).

14672293706070 is an abundant number, since it is smaller than the sum of its proper divisors (44823807977130).

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

14672293706070 is a wasteful number, since it uses less digits than its factorization.

14672293706070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 14672293706070 in words is "fourteen trillion, six hundred seventy-two billion, two hundred ninety-three million, seven hundred six thousand, seventy".