36312116209152 has 640 divisors, whose sum is σ = 122687278940160. Its totient is φ = 9309329326080.

The previous prime is 36312116209147. The next prime is 36312116209189. The reversal of 36312116209152 is 25190261121363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297586618 + ... + 297708614.

It is an arithmetic number, because the mean of its divisors is an integer number (191698873344).

Almost surely, 2^{36312116209152} is an apocalyptic number.

36312116209152 is a gapful number since it is divisible by the number (32) 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 36312116209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61343639470080).

36312116209152 is an abundant number, since it is smaller than the sum of its proper divisors (86375162731008).

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

36312116209152 is a wasteful number, since it uses less digits than its factorization.

36312116209152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122122 (or 122106 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 36312116209152 in words is "thirty-six trillion, three hundred twelve billion, one hundred sixteen million, two hundred nine thousand, one hundred fifty-two".