1461148632 has 80 divisors (see below), whose sum is σ = 4098299040. Its totient is φ = 486368064.

The previous prime is 1461148613. The next prime is 1461148649. The reversal of 1461148632 is 2368411641.

1461148632 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 14 + 8 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 707233 + ... + 709295.

It is an arithmetic number, because the mean of its divisors is an integer number (51228738).

Almost surely, 2^1461148632 is an apocalyptic number.

1461148632 is a gapful number since it is divisible by the number (12) 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 1461148632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049149520).

1461148632 is an abundant number, since it is smaller than the sum of its proper divisors (2637150408).

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

1461148632 is a wasteful number, since it uses less digits than its factorization.

1461148632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3161 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1461148632 is about 38224.9739306648. The cubic root of 1461148632 is about 1134.7446188733.

The spelling of 1461148632 in words is "one billion, four hundred sixty-one million, one hundred forty-eight thousand, six hundred thirty-two".