14945456160 has 288 divisors, whose sum is σ = 54328987440. Its totient is φ = 3728277504.

The previous prime is 14945456147. The next prime is 14945456173. The reversal of 14945456160 is 6165454941.

14945456160 is a `hidden beast` number, since 1 + 4 + 94 + 545 + 6 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14945456147) and next prime (14945456173).

It can be written as a sum of positive squares in 8 ways, for example, as 8655697296 + 6289758864 = 93036^2 + 79308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233276 + ... + 4236804.

Almost surely, 2^14945456160 is an apocalyptic number.

14945456160 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 14945456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164493720).

14945456160 is an abundant number, since it is smaller than the sum of its proper divisors (39383531280).

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

14945456160 is a wasteful number, since it uses less digits than its factorization.

14945456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 14945456160 in words is "fourteen billion, nine hundred forty-five million, four hundred fifty-six thousand, one hundred sixty".