1138958016 has 112 divisors (see below), whose sum is σ = 3470818560. Its totient is φ = 322882560.

The previous prime is 1138957961. The next prime is 1138958017. The reversal of 1138958016 is 6108598311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1138958017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172830 + ... + 179298.

Almost surely, 2^1138958016 is an apocalyptic number.

1138958016 is a gapful number since it is divisible by the number (16) 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 1138958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735409280).

1138958016 is an abundant number, since it is smaller than the sum of its proper divisors (2331860544).

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

1138958016 is a wasteful number, since it uses less digits than its factorization.

1138958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 1138958016 is about 33748.4520533905. The cubic root of 1138958016 is about 1044.3255542890.

The spelling of 1138958016 in words is "one billion, one hundred thirty-eight million, nine hundred fifty-eight thousand, sixteen".