1461152644 has 48 divisors (see below), whose sum is σ = 3030646528. Its totient is φ = 603324288.

The previous prime is 1461152633. The next prime is 1461152657. The reversal of 1461152644 is 4462511641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99862 + ... + 113554.

Almost surely, 2^1461152644 is an apocalyptic number.

1461152644 is a gapful number since it is divisible by the number (14) 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 1461152644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515323264).

1461152644 is an abundant number, since it is smaller than the sum of its proper divisors (1569493884).

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

1461152644 is a wasteful number, since it uses less digits than its factorization.

1461152644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13842 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 1461152644 is about 38225.0264094088. The cubic root of 1461152644 is about 1134.7456574606.

The spelling of 1461152644 in words is "one billion, four hundred sixty-one million, one hundred fifty-two thousand, six hundred forty-four".