36488928660912 has 600 divisors, whose sum is σ = 134276929695216. Its totient is φ = 9479805705216.

The previous prime is 36488928660901. The next prime is 36488928660971. The reversal of 36488928660912 is 21906682988463.

It is a happy number.

36488928660912 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 8 + 9 + 2 + 8 + 6 + 609 + 1 + 2 = 666.

36488928660912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36488928660912² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54982138 + ... + 55641830.

Almost surely, 2^{36488928660912} 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 36488928660912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67138464847608).

36488928660912 is an abundant number, since it is smaller than the sum of its proper divisors (97788001034304).

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

36488928660912 is a wasteful number, since it uses less digits than its factorization.

36488928660912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659807 (or 659785 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 36488928660912 in words is "thirty-six trillion, four hundred eighty-eight billion, nine hundred twenty-eight million, six hundred sixty thousand, nine hundred twelve".