33849264464 has 40 divisors (see below), whose sum is σ = 67861999560. Its totient is φ = 16336793088.

The previous prime is 33849264461. The next prime is 33849264479. The reversal of 33849264464 is 46446294833.

It can be written as a sum of positive squares in 4 ways, for example, as 3986659600 + 29862604864 = 63140^2 + 172808^2 .

It is a super-2 number, since 2×33849264464² (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 (33849264461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2504894 + ... + 2518370.

It is an arithmetic number, because the mean of its divisors is an integer number (1696549989).

Almost surely, 2^33849264464 is an apocalyptic number.

It is an amenable number.

33849264464 is an abundant number, since it is smaller than the sum of its proper divisors (34012735096).

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

33849264464 is a wasteful number, since it uses less digits than its factorization.

33849264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18927 (or 18921 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 53.

The spelling of 33849264464 in words is "thirty-three billion, eight hundred forty-nine million, two hundred sixty-four thousand, four hundred sixty-four".