36479338578144 has 288 divisors, whose sum is σ = 131456101271040. Its totient is φ = 9319822156800.

The previous prime is 36479338578143. The next prime is 36479338578169. The reversal of 36479338578144 is 44187583397463.

36479338578144 is a `hidden beast` number, since 3 + 6 + 4 + 7 + 9 + 3 + 3 + 8 + 578 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36479338578144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36479338578143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12130804 + ... + 14836275.

It is an arithmetic number, because the mean of its divisors is an integer number (456444796080).

Almost surely, 2^{36479338578144} is an apocalyptic number.

It is an amenable number.

36479338578144 is an abundant number, since it is smaller than the sum of its proper divisors (94976762692896).

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

36479338578144 is a wasteful number, since it uses less digits than its factorization.

36479338578144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26967174 (or 26967163 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 36479338578144 in words is "thirty-six trillion, four hundred seventy-nine billion, three hundred thirty-eight million, five hundred seventy-eight thousand, one hundred forty-four".