1008622132128 has 720 divisors, whose sum is σ = 3342083526936. Its totient is φ = 296448491520.

The previous prime is 1008622132127. The next prime is 1008622132129. The reversal of 1008622132128 is 8212312268001.

It is a happy number.

1008622132128 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 622 + 1 + 3 + 2 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1008622132127) and next prime (1008622132129).

It can be written as a sum of positive squares in 12 ways, for example, as 742671504 + 1007879460624 = 27252^2 + 1003932^2 .

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 = 1008622132092 and 1008622132101.

It is not an unprimeable number, because it can be changed into a prime (1008622132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7362205276 + ... + 7362205412.

Almost surely, 2^{1008622132128} is an apocalyptic number.

1008622132128 is a gapful number since it is divisible by the number (18) 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 1008622132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671041763468).

1008622132128 is an abundant number, since it is smaller than the sum of its proper divisors (2333461394808).

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

1008622132128 is a wasteful number, since it uses less digits than its factorization.

1008622132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1008622132128 in words is "one trillion, eight billion, six hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-eight".