33414504768 has 168 divisors, whose sum is σ = 101652677568. Its totient is φ = 10457960448.

The previous prime is 33414504763. The next prime is 33414504779. The reversal of 33414504768 is 86740541433.

33414504768 is a `hidden beast` number, since 3 + 34 + 145 + 0 + 476 + 8 = 666.

It is a super-2 number, since 2×33414504768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33414504763) 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, 4334005 + ... + 4341707.

Almost surely, 2^33414504768 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 33414504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50826338784).

33414504768 is an abundant number, since it is smaller than the sum of its proper divisors (68238172800).

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

33414504768 is a wasteful number, since it uses less digits than its factorization.

33414504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 33414504768 in words is "thirty-three billion, four hundred fourteen million, five hundred four thousand, seven hundred sixty-eight".