33233656938496 has 153 divisors (see below), whose sum is σ = 77342572155429. Its totient is φ = 14238568415232.

The previous prime is 33233656938463. The next prime is 33233656938523. The reversal of 33233656938496 is 69483965633233.

The square root of 33233656938496 is 5764864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29970807193600 + 3262849744896 = 5474560^2 + 1806336^2 .

It is a super-2 number, since 2×33233656938496² (a number of 28 digits) contains 22 as substring.

Its product of digits (1360488960) is a multiple of the sum of its prime factors (6480).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10330634680 + ... + 10330637896.

Almost surely, 2^{33233656938496} is an apocalyptic number.

33233656938496 is the 5764864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33233656938496

33233656938496 is an abundant number, since it is smaller than the sum of its proper divisors (44108915216933).

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

33233656938496 is an frugal number, since it uses more digits than its factorization.

33233656938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 3226 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 70.

The spelling of 33233656938496 in words is "thirty-three trillion, two hundred thirty-three billion, six hundred fifty-six million, nine hundred thirty-eight thousand, four hundred ninety-six".