164739393000 has 512 divisors, whose sum is σ = 702898560000. Its totient is φ = 34757683200.

The previous prime is 164739392989. The next prime is 164739393031. The reversal of 164739393000 is 393937461.

It is a happy number.

164739393000 is a `hidden beast` number, since 1 + 6 + 473 + 93 + 93 + 0 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 2423476 + ... + 2490524.

It is an arithmetic number, because the mean of its divisors is an integer number (1372848750).

Almost surely, 2^164739393000 is an apocalyptic number.

164739393000 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 164739393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351449280000).

164739393000 is an abundant number, since it is smaller than the sum of its proper divisors (538159167000).

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

164739393000 is a wasteful number, since it uses less digits than its factorization.

164739393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67099 (or 67079 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 164739393000 in words is "one hundred sixty-four billion, seven hundred thirty-nine million, three hundred ninety-three thousand".