37845381459601 has 8 divisors (see below), whose sum is σ = 38087141770664. Its totient is φ = 37603630097280.

The previous prime is 37845381459563. The next prime is 37845381459617. The reversal of 37845381459601 is 10695418354873.

It is a Cunningham number, because it is equal to 6151860²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 37845381459600 = 1^2 + 6151860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37845381459601 is a prime.

It is a super-2 number, since 2×37845381459601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37845381459631) 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 7 ways as a sum of consecutive naturals, for example, 6353101 + ... + 10772773.

It is an arithmetic number, because the mean of its divisors is an integer number (4760892721333).

Almost surely, 2^{37845381459601} is an apocalyptic number.

It is an amenable number.

37845381459601 is a deficient number, since it is larger than the sum of its proper divisors (241760311063).

37845381459601 is a wasteful number, since it uses less digits than its factorization.

37845381459601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474371.

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 37845381459601 in words is "thirty-seven trillion, eight hundred forty-five billion, three hundred eighty-one million, four hundred fifty-nine thousand, six hundred one".