14956920000 has 560 divisors, whose sum is σ = 59988297600. Its totient is φ = 3623040000.

The previous prime is 14956919981. The next prime is 14956920001. The reversal of 14956920000 is 2965941.

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

It is not an unprimeable number, because it can be changed into a prime (14956920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11879371 + ... + 11880629.

It is an arithmetic number, because the mean of its divisors is an integer number (107121960).

Almost surely, 2^14956920000 is an apocalyptic number.

14956920000 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 14956920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994148800).

14956920000 is an abundant number, since it is smaller than the sum of its proper divisors (45031377600).

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

14956920000 is a wasteful number, since it uses less digits than its factorization.

14956920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 14956920000 in words is "fourteen billion, nine hundred fifty-six million, nine hundred twenty thousand".