1837632381649 has 9 divisors (see below), whose sum is σ = 1939467453417. Its totient is φ = 1740890487204.

The previous prime is 1837632381581. The next prime is 1837632381709. The reversal of 1837632381649 is 9461832367381.

It is a happy number.

The square root of 1837632381649 is 1355593.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1837632381649 - 2¹⁹ = 1837631857361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1837632381149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25720594 + ... + 25791940.

It is an arithmetic number, because the mean of its divisors is an integer number (215496383713).

Almost surely, 2^{1837632381649} is an apocalyptic number.

1837632381649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1837632381649 is the 1355593-rd square number.

1837632381649 is the 677797-th centered octagonal number.

It is an amenable number.

1837632381649 is a deficient number, since it is larger than the sum of its proper divisors (101835071768).

1837632381649 is an frugal number, since it uses more digits than its factorization.

1837632381649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142732 (or 71366 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 1837632381649 in words is "one trillion, eight hundred thirty-seven billion, six hundred thirty-two million, three hundred eighty-one thousand, six hundred forty-nine".