1536147456 has 60 divisors (see below), whose sum is σ = 4096399272. Its totient is φ = 512032768.

The previous prime is 1536147449. The next prime is 1536147469. The reversal of 1536147456 is 6547416351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33526 + ... + 64778.

Almost surely, 2^1536147456 is an apocalyptic number.

1536147456 is a gapful number since it is divisible by the number (16) 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 1536147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048199636).

1536147456 is an abundant number, since it is smaller than the sum of its proper divisors (2560251816).

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

1536147456 is an frugal number, since it uses more digits than its factorization.

1536147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31284 (or 31258 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 1536147456 is about 39193.7170475065. The cubic root of 1536147456 is about 1153.8365766535.

The spelling of 1536147456 in words is "one billion, five hundred thirty-six million, one hundred forty-seven thousand, four hundred fifty-six".