14662141920 has 576 divisors, whose sum is σ = 55477094400. Its totient is φ = 3511848960.

The previous prime is 14662141903. The next prime is 14662141927. The reversal of 14662141920 is 2914126641.

14662141920 is a `hidden beast` number, since 1 + 4 + 6 + 621 + 4 + 1 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14662141927) 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 95 ways as a sum of consecutive naturals, for example, 50041294 + ... + 50041586.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 2^14662141920 is an apocalyptic number.

14662141920 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 14662141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738547200).

14662141920 is an abundant number, since it is smaller than the sum of its proper divisors (40814952480).

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

14662141920 is a wasteful number, since it uses less digits than its factorization.

14662141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14662141920 in words is "fourteen billion, six hundred sixty-two million, one hundred forty-one thousand, nine hundred twenty".