2137644236868 has 384 divisors, whose sum is σ = 6095153111040. Its totient is φ = 570458972160.

The previous prime is 2137644236857. The next prime is 2137644236879. The reversal of 2137644236868 is 8686324467312.

It is an interprime number because it is at equal distance from previous prime (2137644236857) and next prime (2137644236879).

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 127 ways as a sum of consecutive naturals, for example, 1471192830 + ... + 1471194282.

It is an arithmetic number, because the mean of its divisors is an integer number (15872794560).

Almost surely, 2^{2137644236868} is an apocalyptic number.

2137644236868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137644236868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047576555520).

2137644236868 is an abundant number, since it is smaller than the sum of its proper divisors (3957508874172).

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

2137644236868 is a wasteful number, since it uses less digits than its factorization.

2137644236868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1745 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 2137644236868 in words is "two trillion, one hundred thirty-seven billion, six hundred forty-four million, two hundred thirty-six thousand, eight hundred sixty-eight".