16954950495456 has 144 divisors (see below), whose sum is σ = 50472719964576. Its totient is φ = 5388654256128.

The previous prime is 16954950495421. The next prime is 16954950495487. The reversal of 16954950495456 is 65459405945961.

It is a happy number.

16954950495456 is a `hidden beast` number, since 1 + 6 + 9 + 5 + 4 + 95 + 0 + 495 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2015545 + ... + 6162168.

It is an arithmetic number, because the mean of its divisors is an integer number (350504999754).

Almost surely, 2^{16954950495456} is an apocalyptic number.

16954950495456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16954950495456 is an abundant number, since it is smaller than the sum of its proper divisors (33517769469120).

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

16954950495456 is a wasteful number, since it uses less digits than its factorization.

16954950495456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178065 (or 8178054 counting only the distinct ones).

The product of its (nonzero) digits is 1049760000, while the sum is 72.

The spelling of 16954950495456 in words is "sixteen trillion, nine hundred fifty-four billion, nine hundred fifty million, four hundred ninety-five thousand, four hundred fifty-six".