14964069120 has 1152 divisors, whose sum is σ = 68238858240. Its totient is φ = 2689597440.

The previous prime is 14964069119. The next prime is 14964069121. The reversal of 14964069120 is 2196046941.

It is an interprime number because it is at equal distance from previous prime (14964069119) and next prime (14964069121).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14964069121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65345166 + ... + 65345394.

It is an arithmetic number, because the mean of its divisors is an integer number (59235120).

Almost surely, 2^14964069120 is an apocalyptic number.

14964069120 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 14964069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34119429120).

14964069120 is an abundant number, since it is smaller than the sum of its proper divisors (53274789120).

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

14964069120 is a wasteful number, since it uses less digits than its factorization.

14964069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 14964069120 in words is "fourteen billion, nine hundred sixty-four million, sixty-nine thousand, one hundred twenty".