164835560448 has 528 divisors, whose sum is σ = 531971346816. Its totient is φ = 48837427200.

The previous prime is 164835560437. The next prime is 164835560453. The reversal of 164835560448 is 844065538461.

164835560448 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 35 + 560 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164835560394 and 164835560403.

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, 411061048 + ... + 411061448.

Almost surely, 2^164835560448 is an apocalyptic number.

164835560448 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 164835560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265985673408).

164835560448 is an abundant number, since it is smaller than the sum of its proper divisors (367135786368).

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

164835560448 is a wasteful number, since it uses less digits than its factorization.

164835560448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 164835560448 in words is "one hundred sixty-four billion, eight hundred thirty-five million, five hundred sixty thousand, four hundred forty-eight".