164462691600 has 315 divisors, whose sum is σ = 593201302869. Its totient is φ = 43798320000.

The previous prime is 164462691593. The next prime is 164462691623. The reversal of 164462691600 is 6196264461.

It is a happy number.

The square root of 164462691600 is 405540.

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

164462691600 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 626 + 9 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59206568976 + 105256122624 = 243324^2 + 324432^2 .

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 62 ways as a sum of consecutive naturals, for example, 218991225 + ... + 218991975.

Almost surely, 2^164462691600 is an apocalyptic number.

164462691600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164462691600 is the 405540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164462691600

164462691600 is an abundant number, since it is smaller than the sum of its proper divisors (428738611269).

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

164462691600 is an frugal number, since it uses more digits than its factorization.

164462691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 164462691600 in words is "one hundred sixty-four billion, four hundred sixty-two million, six hundred ninety-one thousand, six hundred".