352542009456 has 360 divisors, whose sum is σ = 1222035805536. Its totient is φ = 92390077440.

The previous prime is 352542009433. The next prime is 352542009473. The reversal of 352542009456 is 654900245253.

352542009456 is a `hidden beast` number, since 3 + 52 + 542 + 0 + 0 + 9 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 651648546 + ... + 651649086.

Almost surely, 2^352542009456 is an apocalyptic number.

352542009456 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 352542009456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611017902768).

352542009456 is an abundant number, since it is smaller than the sum of its proper divisors (869493796080).

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

352542009456 is a wasteful number, since it uses less digits than its factorization.

352542009456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 352542009456 in words is "three hundred fifty-two billion, five hundred forty-two million, nine thousand, four hundred fifty-six".