1016638931000 has 128 divisors (see below), whose sum is σ = 2965945282560. Its totient is φ = 316874448000.

The previous prime is 1016638930997. The next prime is 1016638931029. The reversal of 1016638931000 is 1398366101.

It is a super-2 number, since 2×1016638931000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6524552 + ... + 6678551.

It is an arithmetic number, because the mean of its divisors is an integer number (23171447520).

Almost surely, 2^{1016638931000} is an apocalyptic number.

1016638931000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016638931000 is an abundant number, since it is smaller than the sum of its proper divisors (1949306351560).

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

1016638931000 is a wasteful number, since it uses less digits than its factorization.

1016638931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13203142 (or 13203128 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 1016638931000 in words is "one trillion, sixteen billion, six hundred thirty-eight million, nine hundred thirty-one thousand".