33538061956 has 81 divisors (see below), whose sum is σ = 69490335159. Its totient is φ = 14121829008.

The previous prime is 33538061939. The next prime is 33538061987. The reversal of 33538061956 is 65916083533.

The square root of 33538061956 is 183134.

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

It is a super-2 number, since 2×33538061956² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264079165 + ... + 264079291.

Almost surely, 2^33538061956 is an apocalyptic number.

33538061956 is the 183134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33538061956

33538061956 is an abundant number, since it is smaller than the sum of its proper divisors (35952273203).

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

33538061956 is a wasteful number, since it uses less digits than its factorization.

33538061956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 33538061956 by its sum of digits (49), we get a square (1643365035844 = 1281938²).

33538061956 divided by its sum of digits (49) gives a square (684450244 = 26162²).

The spelling of 33538061956 in words is "thirty-three billion, five hundred thirty-eight million, sixty-one thousand, nine hundred fifty-six".