33465436480 has 224 divisors, whose sum is σ = 92692362240. Its totient is φ = 11271536640.

The previous prime is 33465436423. The next prime is 33465436481. The reversal of 33465436480 is 8463456433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×33465436480² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33465436480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33465436481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49725424 + ... + 49726096.

Almost surely, 2^33465436480 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 33465436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46346181120).

33465436480 is an abundant number, since it is smaller than the sum of its proper divisors (59226925760).

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

33465436480 is a wasteful number, since it uses less digits than its factorization.

33465436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 33465436480 in words is "thirty-three billion, four hundred sixty-five million, four hundred thirty-six thousand, four hundred eighty".