16344918720 has 1344 divisors, whose sum is σ = 70828692480. Its totient is φ = 3547348992.

The previous prime is 16344918703. The next prime is 16344918721. The reversal of 16344918720 is 2781944361.

16344918720 is a `hidden beast` number, since 1 + 6 + 3 + 449 + 187 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16344918721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 441754542 + ... + 441754578.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^16344918720 is an apocalyptic number.

16344918720 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 16344918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414346240).

16344918720 is an abundant number, since it is smaller than the sum of its proper divisors (54483773760).

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

16344918720 is a wasteful number, since it uses less digits than its factorization.

16344918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16344918720 in words is "sixteen billion, three hundred forty-four million, nine hundred eighteen thousand, seven hundred twenty".