36133554912 has 576 divisors, whose sum is σ = 126545690880. Its totient is φ = 8922783744.

The previous prime is 36133554907. The next prime is 36133554917. The reversal of 36133554912 is 21945533163.

It is an interprime number because it is at equal distance from previous prime (36133554907) and next prime (36133554917).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36133554917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159178543 + ... + 159178769.

It is an arithmetic number, because the mean of its divisors is an integer number (219697380).

Almost surely, 2^36133554912 is an apocalyptic number.

36133554912 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 36133554912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63272845440).

36133554912 is an abundant number, since it is smaller than the sum of its proper divisors (90412135968).

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

36133554912 is a wasteful number, since it uses less digits than its factorization.

36133554912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The spelling of 36133554912 in words is "thirty-six billion, one hundred thirty-three million, five hundred fifty-four thousand, nine hundred twelve".