16845373440 has 672 divisors, whose sum is σ = 72477538560. Its totient is φ = 3623878656.

The previous prime is 16845373429. The next prime is 16845373459. The reversal of 16845373440 is 4437354861.

16845373440 is a `hidden beast` number, since 1 + 6 + 84 + 537 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990904312 + ... + 990904328.

It is an arithmetic number, because the mean of its divisors is an integer number (107853480).

Almost surely, 2^16845373440 is an apocalyptic number.

16845373440 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 16845373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238769280).

16845373440 is an abundant number, since it is smaller than the sum of its proper divisors (55632165120).

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

16845373440 is an frugal number, since it uses more digits than its factorization.

16845373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 16845373440 in words is "sixteen billion, eight hundred forty-five million, three hundred seventy-three thousand, four hundred forty".