36141301567872 has 256 divisors, whose sum is σ = 109376971704000. Its totient is φ = 11741619732480.

The previous prime is 36141301567823. The next prime is 36141301567883. The reversal of 36141301567872 is 27876510314163.

36141301567872 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 1 + 3 + 0 + 1 + 567 + 8 + 72 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 143412154 + ... + 143663942.

Almost surely, 2^{36141301567872} is an apocalyptic number.

36141301567872 is a gapful number since it is divisible by the number (32) 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 36141301567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54688485852000).

36141301567872 is an abundant number, since it is smaller than the sum of its proper divisors (73235670136128).

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

36141301567872 is a wasteful number, since it uses less digits than its factorization.

36141301567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252866 (or 252848 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 36141301567872 in words is "thirty-six trillion, one hundred forty-one billion, three hundred one million, five hundred sixty-seven thousand, eight hundred seventy-two".