14380769948160 has 640 divisors, whose sum is σ = 57395734437888. Its totient is φ = 2984140800000.

The previous prime is 14380769948147. The next prime is 14380769948161. The reversal of 14380769948160 is 6184996708341.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14380769948091 and 14380769948100.

It is not an unprimeable number, because it can be changed into a prime (14380769948161) 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, 444095170 + ... + 444127550.

Almost surely, 2^{14380769948160} is an apocalyptic number.

14380769948160 is a gapful number since it is divisible by the number (10) 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 14380769948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697867218944).

14380769948160 is an abundant number, since it is smaller than the sum of its proper divisors (43014964489728).

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

14380769948160 is a wasteful number, since it uses less digits than its factorization.

14380769948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33176 (or 33160 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 14380769948160 in words is "fourteen trillion, three hundred eighty billion, seven hundred sixty-nine million, nine hundred forty-eight thousand, one hundred sixty".