32334342114000 has 320 divisors, whose sum is σ = 107626819442688. Its totient is φ = 8342940672000.

The previous prime is 32334342113999. The next prime is 32334342114013. The reversal of 32334342114000 is 41124343323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538767494 + ... + 1538788506.

Almost surely, 2^{32334342114000} is an apocalyptic number.

32334342114000 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 32334342114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813409721344).

32334342114000 is an abundant number, since it is smaller than the sum of its proper divisors (75292477328688).

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

32334342114000 is a wasteful number, since it uses less digits than its factorization.

32334342114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29343 (or 29327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 32334342114000 its reverse (41124343323), we get a palindrome (32375466457323).

The spelling of 32334342114000 in words is "thirty-two trillion, three hundred thirty-four billion, three hundred forty-two million, one hundred fourteen thousand".