14945321340 has 576 divisors, whose sum is σ = 53539799040. Its totient is φ = 3479604480.

The previous prime is 14945321323. The next prime is 14945321341. The reversal of 14945321340 is 4312354941.

14945321340 is a `hidden beast` number, since 1 + 4 + 94 + 532 + 1 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14945321295 and 14945321304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945321341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65838307 + ... + 65838533.

It is an arithmetic number, because the mean of its divisors is an integer number (92951040).

Almost surely, 2^14945321340 is an apocalyptic number.

14945321340 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 14945321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769899520).

14945321340 is an abundant number, since it is smaller than the sum of its proper divisors (38594477700).

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

14945321340 is a wasteful number, since it uses less digits than its factorization.

14945321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14945321340 in words is "fourteen billion, nine hundred forty-five million, three hundred twenty-one thousand, three hundred forty".