352033746480 has 1200 divisors, whose sum is σ = 1454410170720. Its totient is φ = 75806834688.

The previous prime is 352033746473. The next prime is 352033746521. The reversal of 352033746480 is 84647330253.

352033746480 is a `hidden beast` number, since 3 + 520 + 3 + 3 + 7 + 46 + 4 + 80 = 666.

352033746480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6642146134 + ... + 6642146186.

Almost surely, 2^352033746480 is an apocalyptic number.

352033746480 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 352033746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727205085360).

352033746480 is an abundant number, since it is smaller than the sum of its proper divisors (1102376424240).

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

352033746480 is a wasteful number, since it uses less digits than its factorization.

352033746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 352033746480 in words is "three hundred fifty-two billion, thirty-three million, seven hundred forty-six thousand, four hundred eighty".