1986157916667 has 384 divisors, whose sum is σ = 3503275776000. Its totient is φ = 1117414932480.

The previous prime is 1986157916663. The next prime is 1986157916683. The reversal of 1986157916667 is 7666197516891.

It is a happy number.

It is not a de Polignac number, because 1986157916667 - 2² = 1986157916663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1986157916595 and 1986157916604.

It is not an unprimeable number, because it can be changed into a prime (1986157916663) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18221632209 + ... + 18221632317.

It is an arithmetic number, because the mean of its divisors is an integer number (9123114000).

Almost surely, 2^{1986157916667} is an apocalyptic number.

1986157916667 is a deficient number, since it is larger than the sum of its proper divisors (1517117859333).

1986157916667 is a wasteful number, since it uses less digits than its factorization.

1986157916667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 1986157916667 in words is "one trillion, nine hundred eighty-six billion, one hundred fifty-seven million, nine hundred sixteen thousand, six hundred sixty-seven".