36911688099001 has 9 divisors (see below), whose sum is σ = 37140525895599. Its totient is φ = 36684251793936.

The previous prime is 36911688098933. The next prime is 36911688099071. The reversal of 36911688099001 is 10099088611963.

The square root of 36911688099001 is 6075499.

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

It can be written as a sum of positive squares in only one way, i.e., 28349182116025 + 8562505982976 = 5324395^2 + 2926176^2 .

It is not a de Polignac number, because 36911688099001 - 2¹⁷ = 36911687967929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36911688099071) 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 8 ways as a sum of consecutive naturals, for example, 990287701 + ... + 990324973.

It is an arithmetic number, because the mean of its divisors is an integer number (4126725099511).

Almost surely, 2^{36911688099001} is an apocalyptic number.

36911688099001 is the 6075499-th square number.

36911688099001 is the 3037750-th centered octagonal number.

It is an amenable number.

36911688099001 is a deficient number, since it is larger than the sum of its proper divisors (228837796598).

36911688099001 is an frugal number, since it uses more digits than its factorization.

36911688099001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74872 (or 37436 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 61.

The spelling of 36911688099001 in words is "thirty-six trillion, nine hundred eleven billion, six hundred eighty-eight million, ninety-nine thousand, one".