164949699600 has 405 divisors, whose sum is σ = 666567125757. Its totient is φ = 37663799040.

The previous prime is 164949699589. The next prime is 164949699601. The reversal of 164949699600 is 6996949461.

The square root of 164949699600 is 406140.

It is a perfect power (a square), and thus also a powerful number.

164949699600 is a `hidden beast` number, since 16 + 4 + 9 + 4 + 9 + 6 + 9 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59381891856 + 105567807744 = 243684^2 + 324912^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164949699601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 170578317 + ... + 170579283.

Almost surely, 2^164949699600 is an apocalyptic number.

164949699600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164949699600 is the 406140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164949699600

164949699600 is an abundant number, since it is smaller than the sum of its proper divisors (501617426157).

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

164949699600 is an equidigital number, since it uses as much as digits as its factorization.

164949699600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 164949699600 in words is "one hundred sixty-four billion, nine hundred forty-nine million, six hundred ninety-nine thousand, six hundred".