36048133943136 has 480 divisors, whose sum is σ = 124609368280320. Its totient is φ = 10008835974144.

The previous prime is 36048133943039. The next prime is 36048133943137. The reversal of 36048133943136 is 63134933184063.

36048133943136 is a `hidden beast` number, since 3 + 6 + 0 + 48 + 133 + 9 + 431 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36048133943137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153580555 + ... + 153815093.

It is an arithmetic number, because the mean of its divisors is an integer number (259602850584).

Almost surely, 2^{36048133943136} is an apocalyptic number.

36048133943136 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 36048133943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62304684140160).

36048133943136 is an abundant number, since it is smaller than the sum of its proper divisors (88561234337184).

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

36048133943136 is a wasteful number, since it uses less digits than its factorization.

36048133943136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234808 (or 234791 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 36048133943136 in words is "thirty-six trillion, forty-eight billion, one hundred thirty-three million, nine hundred forty-three thousand, one hundred thirty-six".