33352114012000 has 384 divisors, whose sum is σ = 97183981440000. Its totient is φ = 11241169497600.

The previous prime is 33352114011973. The next prime is 33352114012003. The reversal of 33352114012000 is 21041125333.

It is a happy number.

It is a super-2 number, since 2×33352114012000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33352114012003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80741991 + ... + 81154009.

It is an arithmetic number, because the mean of its divisors is an integer number (253083285000).

Almost surely, 2^{33352114012000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33352114012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591990720000).

33352114012000 is an abundant number, since it is smaller than the sum of its proper divisors (63831867428000).

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

33352114012000 is an equidigital number, since it uses as much as digits as its factorization.

33352114012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412124 (or 412092 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 33352114012000 its reverse (21041125333), we get a palindrome (33373155137333).

The spelling of 33352114012000 in words is "thirty-three trillion, three hundred fifty-two billion, one hundred fourteen million, twelve thousand".