2967968142951 has 16 divisors (see below), whose sum is σ = 4760650656000. Its totient is φ = 1606719595968.

The previous prime is 2967968142907. The next prime is 2967968142973. The reversal of 2967968142951 is 1592418697692.

It is not a de Polignac number, because 2967968142951 - 2¹¹ = 2967968140903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967968142991) 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 15 ways as a sum of consecutive naturals, for example, 3719257926 + ... + 3719258723.

It is an arithmetic number, because the mean of its divisors is an integer number (297540666000).

Almost surely, 2^{2967968142951} is an apocalyptic number.

2967968142951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2967968142951 is a deficient number, since it is larger than the sum of its proper divisors (1792682513049).

2967968142951 is a wasteful number, since it uses less digits than its factorization.

2967968142951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438516678.

The product of its digits is 117573120, while the sum is 69.

The spelling of 2967968142951 in words is "two trillion, nine hundred sixty-seven billion, nine hundred sixty-eight million, one hundred forty-two thousand, nine hundred fifty-one".