2146978296967 has 16 divisors (see below), whose sum is σ = 2481748713472. Its totient is φ = 1819325098080.

The previous prime is 2146978296941. The next prime is 2146978297039. The reversal of 2146978296967 is 7696928796412.

It is not a de Polignac number, because 2146978296967 - 2²³ = 2146969908359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2146978296893 and 2146978296902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146978296917) 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, 4015284 + ... + 4518457.

It is an arithmetic number, because the mean of its divisors is an integer number (155109294592).

Almost surely, 2^{2146978296967} is an apocalyptic number.

2146978296967 is a deficient number, since it is larger than the sum of its proper divisors (334770416505).

2146978296967 is a wasteful number, since it uses less digits than its factorization.

2146978296967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534158.

The product of its digits is 987614208, while the sum is 76.

The spelling of 2146978296967 in words is "two trillion, one hundred forty-six billion, nine hundred seventy-eight million, two hundred ninety-six thousand, nine hundred sixty-seven".