36431152128 has 528 divisors, whose sum is σ = 128591164416. Its totient is φ = 9707765760.

The previous prime is 36431152123. The next prime is 36431152129. The reversal of 36431152128 is 82125113463.

36431152128 is a `hidden beast` number, since 3 + 6 + 431 + 1 + 5 + 212 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36431152092 and 36431152101.

It is not an unprimeable number, because it can be changed into a prime (36431152123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63802083 + ... + 63802653.

It is an arithmetic number, because the mean of its divisors is an integer number (243543872).

Almost surely, 2^36431152128 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 36431152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64295582208).

36431152128 is an abundant number, since it is smaller than the sum of its proper divisors (92160012288).

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

36431152128 is a wasteful number, since it uses less digits than its factorization.

36431152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 649 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 36431152128 in words is "thirty-six billion, four hundred thirty-one million, one hundred fifty-two thousand, one hundred twenty-eight".