36864431106048 has 960 divisors, whose sum is σ = 135905668778880. Its totient is φ = 9694940626944.

The previous prime is 36864431106037. The next prime is 36864431106053. The reversal of 36864431106048 is 84060113446863.

36864431106048 is a `hidden beast` number, since 3 + 6 + 8 + 64 + 431 + 106 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36864431105985 and 36864431106003.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5630733111 + ... + 5630739657.

It is an arithmetic number, because the mean of its divisors is an integer number (141568404978).

Almost surely, 2^{36864431106048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36864431106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67952834389440).

36864431106048 is an abundant number, since it is smaller than the sum of its proper divisors (99041237672832).

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

36864431106048 is a wasteful number, since it uses less digits than its factorization.

36864431106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 36864431106048 in words is "thirty-six trillion, eight hundred sixty-four billion, four hundred thirty-one million, one hundred six thousand, forty-eight".