16945858944 has 288 divisors, whose sum is σ = 60065015400. Its totient is φ = 4556611584.

The previous prime is 16945858933. The next prime is 16945858973. The reversal of 16945858944 is 44985854961.

16945858944 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 5 + 8 + 589 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 950787 + ... + 968445.

Almost surely, 2^16945858944 is an apocalyptic number.

16945858944 is a gapful number since it is divisible by the number (14) 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 16945858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30032507700).

16945858944 is an abundant number, since it is smaller than the sum of its proper divisors (43119156456).

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

16945858944 is a wasteful number, since it uses less digits than its factorization.

16945858944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17710 (or 17688 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 16945858944 in words is "sixteen billion, nine hundred forty-five million, eight hundred fifty-eight thousand, nine hundred forty-four".