213681947967 has 96 divisors (see below), whose sum is σ = 339969344000. Its totient is φ = 132615014400.

The previous prime is 213681947837. The next prime is 213681947977. The reversal of 213681947967 is 769749186312.

213681947967 is a `hidden beast` number, since 21 + 3 + 6 + 81 + 9 + 479 + 67 = 666.

It is not a de Polignac number, because 213681947967 - 2⁸ = 213681947711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213681947977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374223792 + ... + 374224362.

Almost surely, 2^213681947967 is an apocalyptic number.

213681947967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213681947967 is a deficient number, since it is larger than the sum of its proper divisors (126287396033).

213681947967 is a wasteful number, since it uses less digits than its factorization.

213681947967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1031 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 213681947967 in words is "two hundred thirteen billion, six hundred eighty-one million, nine hundred forty-seven thousand, nine hundred sixty-seven".