36534135456 has 768 divisors, whose sum is σ = 138997555200. Its totient is φ = 9072746496.

The previous prime is 36534135439. The next prime is 36534135461. The reversal of 36534135456 is 65453143563.

36534135456 is a `hidden beast` number, since 3 + 6 + 534 + 13 + 54 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160943215 + ... + 160943441.

It is an arithmetic number, because the mean of its divisors is an integer number (180986400).

Almost surely, 2^36534135456 is an apocalyptic number.

36534135456 is a gapful number since it is divisible by the number (36) 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 36534135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69498777600).

36534135456 is an abundant number, since it is smaller than the sum of its proper divisors (102463419744).

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

36534135456 is a wasteful number, since it uses less digits than its factorization.

36534135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 36534135456 in words is "thirty-six billion, five hundred thirty-four million, one hundred thirty-five thousand, four hundred fifty-six".