14861887920 has 360 divisors, whose sum is σ = 57254023008. Its totient is φ = 3445770240.

The previous prime is 14861887919. The next prime is 14861887921. The reversal of 14861887920 is 2978816841.

14861887920 is a `hidden beast` number, since 14 + 8 + 618 + 8 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14861887919) and next prime (14861887921).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (14861887921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2000052 + ... + 2007468.

Almost surely, 2^14861887920 is an apocalyptic number.

14861887920 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 14861887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627011504).

14861887920 is an abundant number, since it is smaller than the sum of its proper divisors (42392135088).

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

14861887920 is a wasteful number, since it uses less digits than its factorization.

14861887920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 14861887920 in words is "fourteen billion, eight hundred sixty-one million, eight hundred eighty-seven thousand, nine hundred twenty".