16981453440 has 1024 divisors, whose sum is σ = 73322496000. Its totient is φ = 3632283648.

The previous prime is 16981453429. The next prime is 16981453457. The reversal of 16981453440 is 4435418961.

16981453440 is a `hidden beast` number, since 1 + 69 + 8 + 14 + 534 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164868429 + ... + 164868531.

It is an arithmetic number, because the mean of its divisors is an integer number (71604000).

Almost surely, 2^16981453440 is an apocalyptic number.

16981453440 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 16981453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36661248000).

16981453440 is an abundant number, since it is smaller than the sum of its proper divisors (56341042560).

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

16981453440 is a wasteful number, since it uses less digits than its factorization.

16981453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16981453440 in words is "sixteen billion, nine hundred eighty-one million, four hundred fifty-three thousand, four hundred forty".