36226435854752 has 384 divisors, whose sum is σ = 88233697198080. Its totient is φ = 14501725056000.

The previous prime is 36226435854731. The next prime is 36226435854767. The reversal of 36226435854752 is 25745853462263.

36226435854752 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 2×36226435854752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 63 ways as a sum of consecutive naturals, for example, 1702119503 + ... + 1702140785.

It is an arithmetic number, because the mean of its divisors is an integer number (229775253120).

Almost surely, 2^{36226435854752} is an apocalyptic number.

36226435854752 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 36226435854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44116848599040).

36226435854752 is an abundant number, since it is smaller than the sum of its proper divisors (52007261343328).

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

36226435854752 is a wasteful number, since it uses less digits than its factorization.

36226435854752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21411 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 62.

The spelling of 36226435854752 in words is "thirty-six trillion, two hundred twenty-six billion, four hundred thirty-five million, eight hundred fifty-four thousand, seven hundred fifty-two".