1138784909031 has 160 divisors (see below), whose sum is σ = 2195805934080. Its totient is φ = 570719520000.

The previous prime is 1138784909023. The next prime is 1138784909039. The reversal of 1138784909031 is 1309094878311.

It is a happy number.

1138784909031 is a `hidden beast` number, since 1 + 1 + 38 + 7 + 8 + 490 + 90 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1138784909023) and next prime (1138784909039).

It is not a de Polignac number, because 1138784909031 - 2³ = 1138784909023 is a prime.

It is a super-2 number, since 2×1138784909031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138784909039) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 407143725 + ... + 407146521.

It is an arithmetic number, because the mean of its divisors is an integer number (13723787088).

Almost surely, 2^{1138784909031} is an apocalyptic number.

1138784909031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1138784909031 is a deficient number, since it is larger than the sum of its proper divisors (1057021025049).

1138784909031 is a wasteful number, since it uses less digits than its factorization.

1138784909031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1138784909031 in words is "one trillion, one hundred thirty-eight billion, seven hundred eighty-four million, nine hundred nine thousand, thirty-one".