33800454801 has 9 divisors (see below), whose sum is σ = 48823675849. Its totient is φ = 22533268836.

The previous prime is 33800454769. The next prime is 33800454803. The reversal of 33800454801 is 10845400833.

The square root of 33800454801 is 183849.

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

33800454801 is a `hidden beast` number, since 33 + 80 + 0 + 4 + 548 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 33800454801 - 2⁵ = 33800454769 is a prime.

It is a super-2 number, since 2×33800454801² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33800454803) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 520906 + ... + 582188.

Almost surely, 2^33800454801 is an apocalyptic number.

33800454801 is the 183849-th square number.

33800454801 is the 91925-th centered octagonal number.

It is an amenable number.

33800454801 is a deficient number, since it is larger than the sum of its proper divisors (15023221048).

33800454801 is an frugal number, since it uses more digits than its factorization.

33800454801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122572 (or 61286 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 33800454801 by its sum of digits (36), we get a square (1216816372836 = 1103094²).

It can be divided in two parts, 33800 and 454801, that added together give a square (488601 = 699²).

The spelling of 33800454801 in words is "thirty-three billion, eight hundred million, four hundred fifty-four thousand, eight hundred one".