36788821281 has 48 divisors (see below), whose sum is σ = 54115850880. Its totient is φ = 24080889600.

The previous prime is 36788821249. The next prime is 36788821367. The reversal of 36788821281 is 18212888763.

36788821281 is a `hidden beast` number, since 367 + 88 + 82 + 128 + 1 = 666.

It is not a de Polignac number, because 36788821281 - 2⁵ = 36788821249 is a prime.

It is a super-2 number, since 2×36788821281² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36788821481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61212381 + ... + 61212981.

It is an arithmetic number, because the mean of its divisors is an integer number (1127413560).

Almost surely, 2^36788821281 is an apocalyptic number.

It is an amenable number.

36788821281 is a deficient number, since it is larger than the sum of its proper divisors (17327029599).

36788821281 is a wasteful number, since it uses less digits than its factorization.

36788821281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 36788821281 in words is "thirty-six billion, seven hundred eighty-eight million, eight hundred twenty-one thousand, two hundred eighty-one".