31429064961 has 64 divisors (see below), whose sum is σ = 54838464000. Its totient is φ = 17781120000.

The previous prime is 31429064957. The next prime is 31429064971. The reversal of 31429064961 is 16946092413.

31429064961 is a `hidden beast` number, since 31 + 42 + 90 + 6 + 496 + 1 = 666.

It is not a de Polignac number, because 31429064961 - 2² = 31429064957 is a prime.

It is a super-2 number, since 2×31429064961² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31429064971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918561 + ... + 952161.

It is an arithmetic number, because the mean of its divisors is an integer number (856851000).

Almost surely, 2^31429064961 is an apocalyptic number.

It is an amenable number.

31429064961 is a deficient number, since it is larger than the sum of its proper divisors (23409399039).

31429064961 is a wasteful number, since it uses less digits than its factorization.

31429064961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33732 (or 33712 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31429064961 in words is "thirty-one billion, four hundred twenty-nine million, sixty-four thousand, nine hundred sixty-one".