36141266988288 has 1944 divisors, whose sum is σ = 148519402536960. Its totient is φ = 8369115955200.

The previous prime is 36141266988259. The next prime is 36141266988301. The reversal of 36141266988288 is 88288966214163.

36141266988288 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 1 + 266 + 9 + 88 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4412310273 + ... + 4412318463.

Almost surely, 2^{36141266988288} is an apocalyptic number.

36141266988288 is a gapful number since it is divisible by the number (38) 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 36141266988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74259701268480).

36141266988288 is an abundant number, since it is smaller than the sum of its proper divisors (112378135548672).

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

36141266988288 is a wasteful number, since it uses less digits than its factorization.

36141266988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8250 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 36141266988288 in words is "thirty-six trillion, one hundred forty-one billion, two hundred sixty-six million, nine hundred eighty-eight thousand, two hundred eighty-eight".