359372845383552 has 3072 divisors, whose sum is σ = 1495573051392000. Its totient is φ = 82037262827520.

The previous prime is 359372845383499. The next prime is 359372845383571. The reversal of 359372845383552 is 255383548273953.

359372845383552 is a `hidden beast` number, since 3 + 5 + 9 + 3 + 7 + 2 + 8 + 4 + 538 + 35 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 656988748143 + ... + 656988748689.

It is an arithmetic number, because the mean of its divisors is an integer number (486840186000).

Almost surely, 2^{359372845383552} is an apocalyptic number.

359372845383552 is a gapful number since it is divisible by the number (32) 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 359372845383552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747786525696000).

359372845383552 is an abundant number, since it is smaller than the sum of its proper divisors (1136200206008448).

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

359372845383552 is a wasteful number, since it uses less digits than its factorization.

359372845383552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 965 counting only the distinct ones).

The product of its digits is 3265920000, while the sum is 72.

The spelling of 359372845383552 in words is "three hundred fifty-nine trillion, three hundred seventy-two billion, eight hundred forty-five million, three hundred eighty-three thousand, five hundred fifty-two".