33429000492 has 72 divisors (see below), whose sum is σ = 88767151200. Its totient is φ = 10586949120.

The previous prime is 33429000431. The next prime is 33429000499. The reversal of 33429000492 is 29400092433.

It is a super-2 number, since 2×33429000492² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33429000499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12109 + ... + 258852.

It is an arithmetic number, because the mean of its divisors is an integer number (1232877100).

Almost surely, 2^33429000492 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 33429000492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44383575600).

33429000492 is an abundant number, since it is smaller than the sum of its proper divisors (55338150708).

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

33429000492 is a wasteful number, since it uses less digits than its factorization.

33429000492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271143 (or 271138 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33429000492 in words is "thirty-three billion, four hundred twenty-nine million, four hundred ninety-two", and thus it is an aban number.