36362466144 has 72 divisors (see below), whose sum is σ = 103585449240. Its totient is φ = 12099760128.

The previous prime is 36362466131. The next prime is 36362466169. The reversal of 36362466144 is 44166426363.

36362466144 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 24 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36362466144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56767 + ... + 275585.

It is an arithmetic number, because the mean of its divisors is an integer number (1438686795).

Almost surely, 2^36362466144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36362466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51792724620).

36362466144 is an abundant number, since it is smaller than the sum of its proper divisors (67222983096).

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

36362466144 is a wasteful number, since it uses less digits than its factorization.

36362466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219412 (or 219401 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 36362466144 in words is "thirty-six billion, three hundred sixty-two million, four hundred sixty-six thousand, one hundred forty-four".