33948431001 has 9 divisors (see below), whose sum is σ = 49037420991. Its totient is φ = 22631918832.

The previous prime is 33948430939. The next prime is 33948431039. The reversal of 33948431001 is 10013484933.

The square root of 33948431001 is 184251.

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

33948431001 is a `hidden beast` number, since 339 + 4 + 8 + 4 + 310 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10715355225 + 23233075776 = 103515^2 + 152424^2 .

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

It is not a de Polignac number, because 33948431001 - 2²¹ = 33946333849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33948430001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 522045 + ... + 583461.

Almost surely, 2^33948431001 is an apocalyptic number.

33948431001 is the 184251-st square number.

33948431001 is the 92126-th centered octagonal number.

It is an amenable number.

33948431001 is a deficient number, since it is larger than the sum of its proper divisors (15088989990).

33948431001 is an frugal number, since it uses more digits than its factorization.

33948431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122840 (or 61420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 33948431001 by its sum of digits (36), we get a square (1222143516036 = 1105506²).

The spelling of 33948431001 in words is "thirty-three billion, nine hundred forty-eight million, four hundred thirty-one thousand, one".