3142071762921 has 243 divisors, whose sum is σ = 5891954282487. Its totient is φ = 1608092740800.

The previous prime is 3142071762899. The next prime is 3142071763003. The reversal of 3142071762921 is 1292671702413.

The square root of 3142071762921 is 1772589.

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

3142071762921 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 0 + 7 + 17 + 629 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 464803515225 + 2677268247696 = 681765^2 + 1636236^2 .

It is not a de Polignac number, because 3142071762921 - 2⁷ = 3142071762793 is a prime.

It is a super-2 number, since 2×3142071762921² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142071761921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 20808422196 + ... + 20808422346.

Almost surely, 2^{3142071762921} is an apocalyptic number.

3142071762921 is the 1772589-th square number.

3142071762921 is the 886295-th centered octagonal number.

It is an amenable number.

3142071762921 is a deficient number, since it is larger than the sum of its proper divisors (2749882519566).

3142071762921 is a wasteful number, since it uses less digits than its factorization.

3142071762921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 3142071762921 in words is "three trillion, one hundred forty-two billion, seventy-one million, seven hundred sixty-two thousand, nine hundred twenty-one".