164353049280 has 672 divisors, whose sum is σ = 659596953600. Its totient is φ = 36787322880.

The previous prime is 164353049257. The next prime is 164353049297. The reversal of 164353049280 is 82940353461.

164353049280 is a `hidden beast` number, since 1 + 64 + 3 + 5 + 304 + 9 + 280 = 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284840352 + ... + 284840928.

Almost surely, 2^164353049280 is an apocalyptic number.

164353049280 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 164353049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329798476800).

164353049280 is an abundant number, since it is smaller than the sum of its proper divisors (495243904320).

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

164353049280 is a wasteful number, since it uses less digits than its factorization.

164353049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 164353049280 in words is "one hundred sixty-four billion, three hundred fifty-three million, forty-nine thousand, two hundred eighty".