1385972118 has 96 divisors (see below), whose sum is σ = 3286483200. Its totient is φ = 420940800.

The previous prime is 1385972113. The next prime is 1385972131. The reversal of 1385972118 is 8112795831.

1385972118 is a `hidden beast` number, since 1 + 38 + 597 + 21 + 1 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385972113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662418 + ... + 664506.

It is an arithmetic number, because the mean of its divisors is an integer number (34234200).

Almost surely, 2^1385972118 is an apocalyptic number.

1385972118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385972118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643241600).

1385972118 is an abundant number, since it is smaller than the sum of its proper divisors (1900511082).

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

1385972118 is a wasteful number, since it uses less digits than its factorization.

1385972118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2195 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 1385972118 is about 37228.6464701579. The cubic root of 1385972118 is about 1114.9400030725.

It can be divided in two parts, 138597 and 2118, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 1385972118 in words is "one billion, three hundred eighty-five million, nine hundred seventy-two thousand, one hundred eighteen".