33141391004736 has 189 divisors, whose sum is σ = 110506232344599. Its totient is φ = 9468692529408.

The previous prime is 33141391004693. The next prime is 33141391004803. The reversal of 33141391004736 is 63740019314133.

The square root of 33141391004736 is 5756856.

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

33141391004736 is a `hidden beast` number, since 3 + 3 + 1 + 41 + 39 + 100 + 473 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33141391004691 and 33141391004700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 967134675 + ... + 967168941.

Almost surely, 2^{33141391004736} is an apocalyptic number.

33141391004736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33141391004736 is the 5756856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33141391004736

33141391004736 is an abundant number, since it is smaller than the sum of its proper divisors (77364841339863).

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

33141391004736 is an frugal number, since it uses more digits than its factorization.

33141391004736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68566 (or 34279 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 33141391004736 in words is "thirty-three trillion, one hundred forty-one billion, three hundred ninety-one million, four thousand, seven hundred thirty-six".