164956003380 has 144 divisors (see below), whose sum is σ = 573468989184. Its totient is φ = 37597317120.

The previous prime is 164956003279. The next prime is 164956003409. The reversal of 164956003380 is 83300659461.

164956003380 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 5 + 600 + 3 + 38 + 0 = 666.

164956003380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164956003380² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259345 + ... + 630215.

It is an arithmetic number, because the mean of its divisors is an integer number (3982423536).

Almost surely, 2^164956003380 is an apocalyptic number.

164956003380 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 164956003380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286734494592).

164956003380 is an abundant number, since it is smaller than the sum of its proper divisors (408512985804).

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

164956003380 is a wasteful number, since it uses less digits than its factorization.

164956003380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371246 (or 371241 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 164956003380 in words is "one hundred sixty-four billion, nine hundred fifty-six million, three thousand, three hundred eighty".