352381754250 has 96 divisors (see below), whose sum is σ = 953515751760. Its totient is φ = 93901852800.

The previous prime is 352381754243. The next prime is 352381754273. The reversal of 352381754250 is 52457183253.

352381754250 is a `hidden beast` number, since 3 + 5 + 23 + 81 + 7 + 542 + 5 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29404361529 + 322977392721 = 171477^2 + 568311^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 352381754196 and 352381754205.

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 47 ways as a sum of consecutive naturals, for example, 3160452 + ... + 3270048.

Almost surely, 2^352381754250 is an apocalyptic number.

352381754250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352381754250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476757875880).

352381754250 is an abundant number, since it is smaller than the sum of its proper divisors (601133997510).

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

352381754250 is a wasteful number, since it uses less digits than its factorization.

352381754250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111049 (or 111036 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 352381754250 in words is "three hundred fifty-two billion, three hundred eighty-one million, seven hundred fifty-four thousand, two hundred fifty".