1008924006144 has 36 divisors (see below), whose sum is σ = 2685209205896. Its totient is φ = 336308001792.

The previous prime is 1008924006137. The next prime is 1008924006157. The reversal of 1008924006144 is 4416004298001.

It is a super-3 number, since 3×1008924006144³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656850799 + ... + 656852334.

Almost surely, 2^{1008924006144} is an apocalyptic number.

It is an amenable number.

1008924006144 is an abundant number, since it is smaller than the sum of its proper divisors (1676285199752).

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

1008924006144 is an equidigital number, since it uses as much as digits as its factorization.

1008924006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313703152 (or 1313703138 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1008924006144 in words is "one trillion, eight billion, nine hundred twenty-four million, six thousand, one hundred forty-four".