1147377456 has 120 divisors (see below), whose sum is σ = 3396032640. Its totient is φ = 361036800.

The previous prime is 1147377419. The next prime is 1147377457. The reversal of 1147377456 is 6547737411.

It is not an unprimeable number, because it can be changed into a prime (1147377457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179890 + ... + 186158.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^1147377456 is an apocalyptic number.

1147377456 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 1147377456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

1147377456 is an abundant number, since it is smaller than the sum of its proper divisors (2248655184).

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

1147377456 is a wasteful number, since it uses less digits than its factorization.

1147377456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6346 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 1147377456 is about 33872.9605437730. The cubic root of 1147377456 is about 1046.8925377456.

The spelling of 1147377456 in words is "one billion, one hundred forty-seven million, three hundred seventy-seven thousand, four hundred fifty-six".