33083965140 has 192 divisors, whose sum is σ = 96901152768. Its totient is φ = 8426073600.

The previous prime is 33083965051. The next prime is 33083965147. The reversal of 33083965140 is 4156938033.

It is a junction number, because it is equal to n+sod(n) for n = 33083965092 and 33083965101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33083965147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67933977 + ... + 67934463.

It is an arithmetic number, because the mean of its divisors is an integer number (504693504).

Almost surely, 2^33083965140 is an apocalyptic number.

33083965140 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 33083965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48450576384).

33083965140 is an abundant number, since it is smaller than the sum of its proper divisors (63817187628).

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

33083965140 is a wasteful number, since it uses less digits than its factorization.

33083965140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 33083965140 in words is "thirty-three billion, eighty-three million, nine hundred sixty-five thousand, one hundred forty".