36461163228 has 288 divisors, whose sum is σ = 104904543744. Its totient is φ = 9816049152.

The previous prime is 36461163227. The next prime is 36461163301. The reversal of 36461163228 is 82236116463.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (248832) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 36461163228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36461163227) 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 95 ways as a sum of consecutive naturals, for example, 118765851 + ... + 118766157.

It is an arithmetic number, because the mean of its divisors is an integer number (364251888).

Almost surely, 2^36461163228 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 36461163228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52452271872).

36461163228 is an abundant number, since it is smaller than the sum of its proper divisors (68443380516).

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

36461163228 is a wasteful number, since it uses less digits than its factorization.

36461163228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 36461163228 in words is "thirty-six billion, four hundred sixty-one million, one hundred sixty-three thousand, two hundred twenty-eight".