1016131166388 has 72 divisors (see below), whose sum is σ = 2852649676800. Its totient is φ = 312655737888.

The previous prime is 1016131166371. The next prime is 1016131166419. The reversal of 1016131166388 is 8836611316101.

1016131166388 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 3 + 1 + 1 + 6 + 638 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 27817908 + ... + 27854411.

It is an arithmetic number, because the mean of its divisors is an integer number (39620134400).

Almost surely, 2^{1016131166388} is an apocalyptic number.

1016131166388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1016131166388 is an abundant number, since it is smaller than the sum of its proper divisors (1836518510412).

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

1016131166388 is a wasteful number, since it uses less digits than its factorization.

1016131166388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55672358 (or 55672337 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1016131166388 in words is "one trillion, sixteen billion, one hundred thirty-one million, one hundred sixty-six thousand, three hundred eighty-eight".