36212616144 has 30 divisors (see below), whose sum is σ = 101345030306. Its totient is φ = 12070872000.

The previous prime is 36212616131. The next prime is 36212616169. The reversal of 36212616144 is 44161621263.

36212616144 is a `hidden beast` number, since 3 + 6 + 21 + 2 + 616 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24093248400 + 12119367744 = 155220^2 + 110088^2 .

It is a super-3 number, since 3×36212616144³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36212616099 and 36212616108.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 125738107 + ... + 125738394.

Almost surely, 2^36212616144 is an apocalyptic number.

It is an amenable number.

36212616144 is an abundant number, since it is smaller than the sum of its proper divisors (65132414162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36212616144 is a wasteful number, since it uses less digits than its factorization.

36212616144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251476515 (or 251476506 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 36212616144 in words is "thirty-six billion, two hundred twelve million, six hundred sixteen thousand, one hundred forty-four".