164858610240 has 336 divisors, whose sum is σ = 601273595520. Its totient is φ = 41342607360.

The previous prime is 164858610223. The next prime is 164858610263. The reversal of 164858610240 is 42016858461.

It is a happy number.

164858610240 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 5 + 8 + 610 + 24 + 0 = 666.

It is a super-2 number, since 2×164858610240² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7485645 + ... + 7507635.

Almost surely, 2^164858610240 is an apocalyptic number.

164858610240 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 164858610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300636797760).

164858610240 is an abundant number, since it is smaller than the sum of its proper divisors (436414985280).

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

164858610240 is a wasteful number, since it uses less digits than its factorization.

164858610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22170 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 164858610240 in words is "one hundred sixty-four billion, eight hundred fifty-eight million, six hundred ten thousand, two hundred forty".