352416006524032 has 64 divisors (see below), whose sum is σ = 768751333070400. Its totient is φ = 159593595212800.

The previous prime is 352416006523969. The next prime is 352416006524081. The reversal of 352416006524032 is 230425600614253.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 352416006524032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464854444 + ... + 465611947.

It is an arithmetic number, because the mean of its divisors is an integer number (12011739579225).

Almost surely, 2^{352416006524032} is an apocalyptic number.

352416006524032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352416006524032 is an abundant number, since it is smaller than the sum of its proper divisors (416335326546368).

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

352416006524032 is a wasteful number, since it uses less digits than its factorization.

352416006524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930466685 (or 930466673 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 352416006524032 in words is "three hundred fifty-two trillion, four hundred sixteen billion, six million, five hundred twenty-four thousand, thirty-two".