14963638797072 has 1280 divisors, whose sum is σ = 54473313484800. Its totient is φ = 3837116344320.

The previous prime is 14963638797043. The next prime is 14963638797073. The reversal of 14963638797072 is 27079783636941.

14963638797072 is a `hidden beast` number, since 1 + 4 + 96 + 3 + 6 + 387 + 97 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14963638797073) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18774954178 + ... + 18774954974.

It is an arithmetic number, because the mean of its divisors is an integer number (42557276160).

Almost surely, 2^{14963638797072} is an apocalyptic number.

14963638797072 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 14963638797072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27236656742400).

14963638797072 is an abundant number, since it is smaller than the sum of its proper divisors (39509674687728).

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

14963638797072 is a wasteful number, since it uses less digits than its factorization.

14963638797072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 14963638797072 in words is "fourteen trillion, nine hundred sixty-three billion, six hundred thirty-eight million, seven hundred ninety-seven thousand, seventy-two".