36134537462401 has 27 divisors (see below), whose sum is σ = 44363791790019. Its totient is φ = 29341681962768.

The previous prime is 36134537462381. The next prime is 36134537462431. The reversal of 36134537462401 is 10426473543163.

The square root of 36134537462401 is 6011201.

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., 34005051018225 + 2129486444176 = 5831385^2 + 1459276^2 .

It is not a de Polignac number, because 36134537462401 - 2⁷ = 36134537462273 is a prime.

It is a super-2 number, since 2×36134537462401² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (36134537462431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 799467135 + ... + 799512331.

Almost surely, 2^{36134537462401} is an apocalyptic number.

36134537462401 is the 6011201-st square number.

36134537462401 is the 3005601-st centered octagonal number.

It is an amenable number.

36134537462401 is a deficient number, since it is larger than the sum of its proper divisors (8229254327618).

36134537462401 is an frugal number, since it uses more digits than its factorization.

36134537462401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90446 (or 45223 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

36134537462401 divided by its sum of digits (49) gives a square (737439540049 = 858743²).

The spelling of 36134537462401 in words is "thirty-six trillion, one hundred thirty-four billion, five hundred thirty-seven million, four hundred sixty-two thousand, four hundred one".