3134849952001 has 8 divisors (see below), whose sum is σ = 3322466125704. Its totient is φ = 2947590804480.

The previous prime is 3134849951941. The next prime is 3134849952019. The reversal of 3134849952001 is 1002599484313.

It can be written as a sum of positive squares in 4 ways, for example, as 1481208268401 + 1653641683600 = 1217049^2 + 1285940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3134849952001 - 2¹⁹ = 3134849427713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3134849959001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89238460 + ... + 89273581.

It is an arithmetic number, because the mean of its divisors is an integer number (415308265713).

Almost surely, 2^{3134849952001} is an apocalyptic number.

It is an amenable number.

3134849952001 is a deficient number, since it is larger than the sum of its proper divisors (187616173703).

3134849952001 is a wasteful number, since it uses less digits than its factorization.

3134849952001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178513091.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 3134849952001 in words is "three trillion, one hundred thirty-four billion, eight hundred forty-nine million, nine hundred fifty-two thousand, one".