164153161440 has 240 divisors, whose sum is σ = 613402563312. Its totient is φ = 41199169536.

The previous prime is 164153161411. The next prime is 164153161453. The reversal of 164153161440 is 44161351461.

164153161440 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 5 + 31 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164153161395 and 164153161404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152214 + ... + 592853.

Almost surely, 2^164153161440 is an apocalyptic number.

164153161440 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 164153161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306701281656).

164153161440 is an abundant number, since it is smaller than the sum of its proper divisors (449249401872).

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

164153161440 is a wasteful number, since it uses less digits than its factorization.

164153161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745111 (or 745094 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 164153161440 in words is "one hundred sixty-four billion, one hundred fifty-three million, one hundred sixty-one thousand, four hundred forty".