164550249360 has 960 divisors, whose sum is σ = 712007761920. Its totient is φ = 34465720320.

The previous prime is 164550249337. The next prime is 164550249373. The reversal of 164550249360 is 63942055461.

164550249360 is a `hidden beast` number, since 1 + 6 + 4 + 550 + 2 + 4 + 93 + 6 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 80150094 + ... + 80152146.

It is an arithmetic number, because the mean of its divisors is an integer number (741674752).

Almost surely, 2^164550249360 is an apocalyptic number.

164550249360 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 164550249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356003880960).

164550249360 is an abundant number, since it is smaller than the sum of its proper divisors (547457512560).

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

164550249360 is a wasteful number, since it uses less digits than its factorization.

164550249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 164550249360 in words is "one hundred sixty-four billion, five hundred fifty million, two hundred forty-nine thousand, three hundred sixty".