37579830197121 has 9 divisors (see below), whose sum is σ = 54282003515779. Its totient is φ = 25053207870936.

The previous prime is 37579830197083. The next prime is 37579830197141. The reversal of 37579830197121 is 12179103897573.

The square root of 37579830197121 is 6130239.

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

37579830197121 is a `hidden beast` number, since 3 + 7 + 579 + 8 + 30 + 1 + 9 + 7 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25825656791025 + 11754173406096 = 5081895^2 + 3428436^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 37579830197121 - 2⁴¹ = 35380806941569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37579830197141) 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, 17369011 + ... + 19412423.

Almost surely, 2^{37579830197121} is an apocalyptic number.

37579830197121 is the 6130239-th square number.

37579830197121 is the 3065120-th centered octagonal number.

It is an amenable number.

37579830197121 is a deficient number, since it is larger than the sum of its proper divisors (16702173318658).

37579830197121 is an frugal number, since it uses more digits than its factorization.

37579830197121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086832 (or 2043416 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 37579830197121 in words is "thirty-seven trillion, five hundred seventy-nine billion, eight hundred thirty million, one hundred ninety-seven thousand, one hundred twenty-one".