37677351349681 has 4 divisors (see below), whose sum is σ = 37677497724772. Its totient is φ = 37677204974592.

The previous prime is 37677351349639. The next prime is 37677351349717. The reversal of 37677351349681 is 18694315377673.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9685844859681 + 27991506490000 = 3112209^2 + 5290700^2 .

It is a cyclic number.

It is not a de Polignac number, because 37677351349681 - 2²⁹ = 37676814478769 is a prime.

It is a super-2 number, since 2×37677351349681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37677351349681.

It is not an unprimeable number, because it can be changed into a prime (37677351349081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72800760 + ... + 73316473.

It is an arithmetic number, because the mean of its divisors is an integer number (9419374431193).

Almost surely, 2^{37677351349681} is an apocalyptic number.

It is an amenable number.

37677351349681 is a deficient number, since it is larger than the sum of its proper divisors (146375091).

37677351349681 is a wasteful number, since it uses less digits than its factorization.

37677351349681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146375090.

The product of its digits is 480090240, while the sum is 70.

The spelling of 37677351349681 in words is "thirty-seven trillion, six hundred seventy-seven billion, three hundred fifty-one million, three hundred forty-nine thousand, six hundred eighty-one".