352169427456 has 960 divisors, whose sum is σ = 1379311718400. Its totient is φ = 86603489280.

The previous prime is 352169427433. The next prime is 352169427517. The reversal of 352169427456 is 654724961253.

It is a happy number.

352169427456 is a `hidden beast` number, since 3 + 5 + 2 + 169 + 4 + 27 + 456 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222468841 + ... + 222470423.

It is an arithmetic number, because the mean of its divisors is an integer number (1436783040).

Almost surely, 2^352169427456 is an apocalyptic number.

352169427456 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 352169427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689655859200).

352169427456 is an abundant number, since it is smaller than the sum of its proper divisors (1027142290944).

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

352169427456 is a wasteful number, since it uses less digits than its factorization.

352169427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1625 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 352169427456 in words is "three hundred fifty-two billion, one hundred sixty-nine million, four hundred twenty-seven thousand, four hundred fifty-six".