33730145188000 has 192 divisors, whose sum is σ = 85298747054976. Its totient is φ = 13100586240000.

The previous prime is 33730145187989. The next prime is 33730145188037. The reversal of 33730145188000 is 88154103733.

It is a super-2 number, since 2×33730145188000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34116627 + ... + 35091373.

It is an arithmetic number, because the mean of its divisors is an integer number (444264307578).

Almost surely, 2^{33730145188000} 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 33730145188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42649373527488).

33730145188000 is an abundant number, since it is smaller than the sum of its proper divisors (51568601866976).

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

33730145188000 is a wasteful number, since it uses less digits than its factorization.

33730145188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975024 (or 975006 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 33730145188000 in words is "thirty-three trillion, seven hundred thirty billion, one hundred forty-five million, one hundred eighty-eight thousand".