36008461763136 has 280 divisors, whose sum is σ = 108418130753856. Its totient is φ = 11814437606400.

The previous prime is 36008461763107. The next prime is 36008461763137. The reversal of 36008461763136 is 63136716480063.

It is a happy number.

36008461763136 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 8 + 4 + 617 + 6 + 3 + 13 + 6 = 666.

It is a super-5 number, since 5×36008461763136⁵ (a number of 69 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36008461763137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451833885 + ... + 451913571.

Almost surely, 2^{36008461763136} is an apocalyptic number.

36008461763136 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 36008461763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54209065376928).

36008461763136 is an abundant number, since it is smaller than the sum of its proper divisors (72409668990720).

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

36008461763136 is a wasteful number, since it uses less digits than its factorization.

36008461763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81079 (or 81060 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 36008461763136 in words is "thirty-six trillion, eight billion, four hundred sixty-one million, seven hundred sixty-three thousand, one hundred thirty-six".