1461187638 has 24 divisors (see below), whose sum is σ = 3352137048. Its totient is φ = 458411712.

The previous prime is 1461187577. The next prime is 1461187639. The reversal of 1461187638 is 8367811641.

1461187638 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 1 + 8 + 7 + 638 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1461187593 and 1461187602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461187639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2387256 + ... + 2387867.

It is an arithmetic number, because the mean of its divisors is an integer number (139672377).

Almost surely, 2^1461187638 is an apocalyptic number.

1461187638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1461187638 is an abundant number, since it is smaller than the sum of its proper divisors (1890949410).

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

1461187638 is a wasteful number, since it uses less digits than its factorization.

1461187638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775148 (or 4775145 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1461187638 is about 38225.4841434350. The cubic root of 1461187638 is about 1134.7547162843.

The spelling of 1461187638 in words is "one billion, four hundred sixty-one million, one hundred eighty-seven thousand, six hundred thirty-eight".