33936408648 has 160 divisors (see below), whose sum is σ = 96897782520. Its totient is φ = 11093760000.

The previous prime is 33936408631. The next prime is 33936408679. The reversal of 33936408648 is 84680463933.

It can be written as a sum of positive squares in 4 ways, for example, as 33781704804 + 154703844 = 183798^2 + 12438^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33936408594 and 33936408603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15849658 + ... + 15851798.

Almost surely, 2^33936408648 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 33936408648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48448891260).

33936408648 is an abundant number, since it is smaller than the sum of its proper divisors (62961373872).

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

33936408648 is a wasteful number, since it uses less digits than its factorization.

33936408648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 33936408648 in words is "thirty-three billion, nine hundred thirty-six million, four hundred eight thousand, six hundred forty-eight".