1461381318 has 16 divisors (see below), whose sum is σ = 3247514160. Its totient is φ = 487127088.

The previous prime is 1461381269. The next prime is 1461381401. The reversal of 1461381318 is 8131831641.

1461381318 is a `hidden beast` number, since 1 + 4 + 613 + 8 + 1 + 31 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13531255 + ... + 13531362.

It is an arithmetic number, because the mean of its divisors is an integer number (202969635).

Almost surely, 2^1461381318 is an apocalyptic number.

1461381318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1461381318 is an abundant number, since it is smaller than the sum of its proper divisors (1786132842).

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

1461381318 is a wasteful number, since it uses less digits than its factorization.

1461381318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062628 (or 27062622 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1461381318 is about 38228.0174479399. The cubic root of 1461381318 is about 1134.8048512060.

It can be divided in two parts, 146138 and 1318, that added together give a square (147456 = 384²).

The spelling of 1461381318 in words is "one billion, four hundred sixty-one million, three hundred eighty-one thousand, three hundred eighteen".