36990103638601 has 9 divisors (see below), whose sum is σ = 38017087247349. Its totient is φ = 35990152157664.

The previous prime is 36990103638571. The next prime is 36990103638617. The reversal of 36990103638601 is 10683630109963.

The square root of 36990103638601 is 6081949.

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

36990103638601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8951172406201 + 28038931232400 = 2991851^2 + 5295180^2 .

It is not a de Polignac number, because 36990103638601 - 2¹³ = 36990103630409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36990103638641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 224949925 + ... + 225114301.

It is an arithmetic number, because the mean of its divisors is an integer number (4224120805261).

Almost surely, 2^{36990103638601} is an apocalyptic number.

36990103638601 is the 6081949-th square number.

36990103638601 is the 3040975-th centered octagonal number.

It is an amenable number.

36990103638601 is a deficient number, since it is larger than the sum of its proper divisors (1026983608748).

36990103638601 is an frugal number, since it uses more digits than its factorization.

36990103638601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328828 (or 164414 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 36990103638601 in words is "thirty-six trillion, nine hundred ninety billion, one hundred three million, six hundred thirty-eight thousand, six hundred one".