33145405000 has 320 divisors, whose sum is σ = 86541048000. Its totient is φ = 11846016000.

The previous prime is 33145404997. The next prime is 33145405021. The reversal of 33145405000 is 50454133.

It is a super-2 number, since 2×33145405000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146014887 + ... + 146015113.

It is an arithmetic number, because the mean of its divisors is an integer number (270440775).

Almost surely, 2^33145405000 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 33145405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43270524000).

33145405000 is an abundant number, since it is smaller than the sum of its proper divisors (53395643000).

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

33145405000 is a wasteful number, since it uses less digits than its factorization.

33145405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 33145405000 its reverse (50454133), we get a palindrome (33195859133).

The spelling of 33145405000 in words is "thirty-three billion, one hundred forty-five million, four hundred five thousand".