14747360008032 has 384 divisors, whose sum is σ = 45502773120000. Its totient is φ = 4633885863936.

The previous prime is 14747360008027. The next prime is 14747360008037. The reversal of 14747360008032 is 23080006374741.

14747360008032 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 7 + 3 + 600 + 0 + 8 + 0 + 32 = 666.

14747360008032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14747360008027) and next prime (14747360008037).

It is a super-2 number, since 2×14747360008032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14747360008037) 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, 4178904444 + ... + 4178907972.

It is an arithmetic number, because the mean of its divisors is an integer number (118496805000).

Almost surely, 2^{14747360008032} is an apocalyptic number.

14747360008032 is a gapful number since it is divisible by the number (12) 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 14747360008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22751386560000).

14747360008032 is an abundant number, since it is smaller than the sum of its proper divisors (30755413111968).

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

14747360008032 is a wasteful number, since it uses less digits than its factorization.

14747360008032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14747360008032 in words is "fourteen trillion, seven hundred forty-seven billion, three hundred sixty million, eight thousand, thirty-two".