16945104960 has 448 divisors, whose sum is σ = 72341475840. Its totient is φ = 3645112320.

The previous prime is 16945104949. The next prime is 16945104961. The reversal of 16945104960 is 6940154961.

It is a happy number.

16945104960 is a `hidden beast` number, since 1 + 6 + 94 + 510 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16945104961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1019920 + ... + 1036400.

Almost surely, 2^16945104960 is an apocalyptic number.

16945104960 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 16945104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36170737920).

16945104960 is an abundant number, since it is smaller than the sum of its proper divisors (55396370880).

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

16945104960 is a wasteful number, since it uses less digits than its factorization.

16945104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16531 (or 16515 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 16945104960 in words is "sixteen billion, nine hundred forty-five million, one hundred four thousand, nine hundred sixty".