352169668048896 has 480 divisors, whose sum is σ = 1107893205619200. Its totient is φ = 111148655984640.

The previous prime is 352169668048889. The next prime is 352169668048897. The reversal of 352169668048896 is 698840866961253.

352169668048896 is a `hidden beast` number, since 3 + 52 + 1 + 6 + 9 + 6 + 6 + 80 + 488 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352169668048897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5745832011 + ... + 5745893301.

It is an arithmetic number, because the mean of its divisors is an integer number (2308110845040).

Almost surely, 2^{352169668048896} is an apocalyptic number.

352169668048896 is a gapful number since it is divisible by the number (36) 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 352169668048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553946602809600).

352169668048896 is an abundant number, since it is smaller than the sum of its proper divisors (755723537570304).

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

352169668048896 is a wasteful number, since it uses less digits than its factorization.

352169668048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63167 (or 63138 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 352169668048896 in words is "three hundred fifty-two trillion, one hundred sixty-nine billion, six hundred sixty-eight million, forty-eight thousand, eight hundred ninety-six".