1631620968705 has 72 divisors (see below), whose sum is σ = 3499916741568. Its totient is φ = 688508166528.

The previous prime is 1631620968631. The next prime is 1631620968727. The reversal of 1631620968705 is 5078690261361.

1631620968705 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 620 + 9 + 6 + 8 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 1631620968705 - 2⁷ = 1631620968577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15271467 + ... + 15377936.

It is an arithmetic number, because the mean of its divisors is an integer number (48609954744).

Almost surely, 2^{1631620968705} is an apocalyptic number.

1631620968705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1631620968705 is an abundant number, since it is smaller than the sum of its proper divisors (1868295772863).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1631620968705 is a wasteful number, since it uses less digits than its factorization.

1631620968705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30649447 (or 30649431 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1631620968705 in words is "one trillion, six hundred thirty-one billion, six hundred twenty million, nine hundred sixty-eight thousand, seven hundred five".