32341323366912 has 1440 divisors, whose sum is σ = 110012144932800. Its totient is φ = 8392414593024.

The previous prime is 32341323366889. The next prime is 32341323366977. The reversal of 32341323366912 is 21966332314323.

It is a super-2 number, since 2×32341323366912² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363385655764 + ... + 363385655852.

It is an arithmetic number, because the mean of its divisors is an integer number (76397322870).

Almost surely, 2^{32341323366912} is an apocalyptic number.

32341323366912 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 32341323366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006072466400).

32341323366912 is an abundant number, since it is smaller than the sum of its proper divisors (77670821565888).

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

32341323366912 is an equidigital number, since it uses as much as digits as its factorization.

32341323366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 252 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 48.

The spelling of 32341323366912 in words is "thirty-two trillion, three hundred forty-one billion, three hundred twenty-three million, three hundred sixty-six thousand, nine hundred twelve".