164069061408 has 480 divisors, whose sum is σ = 580957977600. Its totient is φ = 45357096960.

The previous prime is 164069061407. The next prime is 164069061451. The reversal of 164069061408 is 804160960461.

164069061408 is a `hidden beast` number, since 16 + 406 + 90 + 6 + 140 + 8 = 666.

It is a super-2 number, since 2×164069061408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164069061407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27557760 + ... + 27563712.

It is an arithmetic number, because the mean of its divisors is an integer number (1210329120).

Almost surely, 2^164069061408 is an apocalyptic number.

164069061408 is a gapful number since it is divisible by the number (18) 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 164069061408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290478988800).

164069061408 is an abundant number, since it is smaller than the sum of its proper divisors (416888916192).

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

164069061408 is an equidigital number, since it uses as much as digits as its factorization.

164069061408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 164069061408 in words is "one hundred sixty-four billion, sixty-nine million, sixty-one thousand, four hundred eight".