164405249199360 has 1512 divisors, whose sum is σ = 641870431098624. Its totient is φ = 40309171568640.

The previous prime is 164405249199349. The next prime is 164405249199361. The reversal of 164405249199360 is 63991942504461.

164405249199360 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 52 + 491 + 9 + 93 + 6 + 0 = 666.

It is a super-3 number, since 3×164405249199360³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164405249199361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 42735960957 + ... + 42735964803.

Almost surely, 2^{164405249199360} is an apocalyptic number.

164405249199360 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 164405249199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320935215549312).

164405249199360 is an abundant number, since it is smaller than the sum of its proper divisors (477465181899264).

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

164405249199360 is an equidigital number, since it uses as much as digits as its factorization.

164405249199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 164405249199360 in words is "one hundred sixty-four trillion, four hundred five billion, two hundred forty-nine million, one hundred ninety-nine thousand, three hundred sixty".