164634662205450 has 144 divisors (see below), whose sum is σ = 446716856936376. Its totient is φ = 43466048064000.

The previous prime is 164634662205449. The next prime is 164634662205493. The reversal of 164634662205450 is 54502266436461.

164634662205450 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 3 + 4 + 6 + 622 + 0 + 5 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24532000974441 + 140102661231009 = 4952979^2 + 11836497^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1314942252 + ... + 1315067448.

Almost surely, 2^{164634662205450} is an apocalyptic number.

164634662205450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164634662205450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223358428468188).

164634662205450 is an abundant number, since it is smaller than the sum of its proper divisors (282082194730926).

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

164634662205450 is a wasteful number, since it uses less digits than its factorization.

164634662205450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154249 (or 154241 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 164634662205450 in words is "one hundred sixty-four trillion, six hundred thirty-four billion, six hundred sixty-two million, two hundred five thousand, four hundred fifty".