36461166336 has 864 divisors, whose sum is σ = 133899071488. Its totient is φ = 9674588160.

The previous prime is 36461166283. The next prime is 36461166337. The reversal of 36461166336 is 63366116463.

36461166336 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 1 + 1 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 36461166291 and 36461166300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36461166337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499467996 + ... + 499468068.

Almost surely, 2^36461166336 is an apocalyptic number.

36461166336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36461166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66949535744).

36461166336 is an abundant number, since it is smaller than the sum of its proper divisors (97437905152).

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

36461166336 is an equidigital number, since it uses as much as digits as its factorization.

36461166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 36461166336 in words is "thirty-six billion, four hundred sixty-one million, one hundred sixty-six thousand, three hundred thirty-six".