36261428112 has 560 divisors, whose sum is σ = 131151605760. Its totient is φ = 9452878848.

The previous prime is 36261428081. The next prime is 36261428167. The reversal of 36261428112 is 21182416263.

It is a happy number.

36261428112 is a `hidden beast` number, since 3 + 6 + 2 + 614 + 28 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 134800714 + ... + 134800982.

It is an arithmetic number, because the mean of its divisors is an integer number (234199296).

Almost surely, 2^36261428112 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 36261428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65575802880).

36261428112 is an abundant number, since it is smaller than the sum of its proper divisors (94890177648).

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

36261428112 is a wasteful number, since it uses less digits than its factorization.

36261428112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 36261428112 in words is "thirty-six billion, two hundred sixty-one million, four hundred twenty-eight thousand, one hundred twelve".