165953432448 has 448 divisors, whose sum is σ = 517018554720. Its totient is φ = 52986286080.

The previous prime is 165953432441. The next prime is 165953432509. The reversal of 165953432448 is 844234359561.

It is a happy number.

165953432448 is a `hidden beast` number, since 1 + 6 + 59 + 5 + 343 + 244 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 165953432394 and 165953432403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165953432441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 245130286 + ... + 245130962.

Almost surely, 2^165953432448 is an apocalyptic number.

165953432448 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 165953432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258509277360).

165953432448 is an abundant number, since it is smaller than the sum of its proper divisors (351065122272).

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

165953432448 is an frugal number, since it uses more digits than its factorization.

165953432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 790 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 165953432448 in words is "one hundred sixty-five billion, nine hundred fifty-three million, four hundred thirty-two thousand, four hundred forty-eight".