36437072346112 has 88 divisors (see below), whose sum is σ = 73843209204336. Its totient is φ = 17967298019328.

The previous prime is 36437072346109. The next prime is 36437072346119. The reversal of 36437072346112 is 21164327073463.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36437072346119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317639678 + ... + 1317667330.

It is an arithmetic number, because the mean of its divisors is an integer number (839127377322).

Almost surely, 2^{36437072346112} is an apocalyptic number.

36437072346112 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 36437072346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36921604602168).

36437072346112 is an abundant number, since it is smaller than the sum of its proper divisors (37406136858224).

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

36437072346112 is a wasteful number, since it uses less digits than its factorization.

36437072346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45373 (or 45355 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 49.

The spelling of 36437072346112 in words is "thirty-six trillion, four hundred thirty-seven billion, seventy-two million, three hundred forty-six thousand, one hundred twelve".