164514970704 has 160 divisors (see below), whose sum is σ = 488475592704. Its totient is φ = 46737446400.

The previous prime is 164514970691. The next prime is 164514970727. The reversal of 164514970704 is 407079415461.

164514970704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57702879 + ... + 57705729.

Almost surely, 2^164514970704 is an apocalyptic number.

164514970704 is a gapful number since it is divisible by the number (14) 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 164514970704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244237796352).

164514970704 is an abundant number, since it is smaller than the sum of its proper divisors (323960622000).

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

164514970704 is a wasteful number, since it uses less digits than its factorization.

164514970704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 164514970704 in words is "one hundred sixty-four billion, five hundred fourteen million, nine hundred seventy thousand, seven hundred four".