352545713694720 has 3072 divisors, whose sum is σ = 1640519322624000. Its totient is φ = 69732711530496.

The previous prime is 352545713694709. The next prime is 352545713694737. The reversal of 352545713694720 is 27496317545253.

352545713694720 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 4 + 571 + 36 + 9 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 46369286439 + ... + 46369294041.

It is an arithmetic number, because the mean of its divisors is an integer number (534023217000).

Almost surely, 2^{352545713694720} is an apocalyptic number.

352545713694720 is a gapful number since it is divisible by the number (30) 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 352545713694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820259661312000).

352545713694720 is an abundant number, since it is smaller than the sum of its proper divisors (1287973608929280).

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

352545713694720 is a wasteful number, since it uses less digits than its factorization.

352545713694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 352545713694720 in words is "three hundred fifty-two trillion, five hundred forty-five billion, seven hundred thirteen million, six hundred ninety-four thousand, seven hundred twenty".