332451542106 has 192 divisors, whose sum is σ = 771697704960. Its totient is φ = 107231584320.

The previous prime is 332451542089. The next prime is 332451542131. The reversal of 332451542106 is 601245154233.

332451542106 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 5 + 1 + 542 + 106 = 666.

It is a super-2 number, since 2×332451542106² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468901680 + ... + 468902388.

It is an arithmetic number, because the mean of its divisors is an integer number (4019258880).

Almost surely, 2^332451542106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332451542106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385848852480).

332451542106 is an abundant number, since it is smaller than the sum of its proper divisors (439246162854).

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

332451542106 is a wasteful number, since it uses less digits than its factorization.

332451542106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 332451542106 its reverse (601245154233), we get a palindrome (933696696339).

The spelling of 332451542106 in words is "three hundred thirty-two billion, four hundred fifty-one million, five hundred forty-two thousand, one hundred six".