36145585860048 has 960 divisors, whose sum is σ = 134633423980800. Its totient is φ = 9200175022080.

The previous prime is 36145585860019. The next prime is 36145585860089. The reversal of 36145585860048 is 84006858554163.

36145585860048 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 5 + 5 + 8 + 586 + 0 + 0 + 48 = 666.

It is a super-2 number, since 2×36145585860048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13790760178 + ... + 13790762798.

It is an arithmetic number, because the mean of its divisors is an integer number (140243149980).

Almost surely, 2^{36145585860048} is an apocalyptic number.

36145585860048 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 36145585860048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67316711990400).

36145585860048 is an abundant number, since it is smaller than the sum of its proper divisors (98487838120752).

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

36145585860048 is a wasteful number, since it uses less digits than its factorization.

36145585860048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 36145585860048 in words is "thirty-six trillion, one hundred forty-five billion, five hundred eighty-five million, eight hundred sixty thousand, forty-eight".