33076312942401 has 27 divisors (see below), whose sum is σ = 48033132535843. Its totient is φ = 21933240229680.

The previous prime is 33076312942367. The next prime is 33076312942441. The reversal of 33076312942401 is 10424921367033.

The square root of 33076312942401 is 5751201.

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

33076312942401 is a `hidden beast` number, since 3 + 3 + 0 + 7 + 6 + 312 + 94 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11064038850225 + 22012274092176 = 3326265^2 + 4691724^2 .

It is not a de Polignac number, because 33076312942401 - 2¹³ = 33076312934209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33076312942441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3295433155 + ... + 3295443191.

Almost surely, 2^{33076312942401} is an apocalyptic number.

33076312942401 is the 5751201-st square number.

33076312942401 is the 2875601-st centered octagonal number.

It is an amenable number.

33076312942401 is a deficient number, since it is larger than the sum of its proper divisors (14956819593442).

33076312942401 is an frugal number, since it uses more digits than its factorization.

33076312942401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 33076312942401 in words is "thirty-three trillion, seventy-six billion, three hundred twelve million, nine hundred forty-two thousand, four hundred one".