1147023456 has 192 divisors, whose sum is σ = 3306744000. Its totient is φ = 346750976.

The previous prime is 1147023431. The next prime is 1147023461. The reversal of 1147023456 is 6543207411.

It is a super-2 number, since 2×1147023456² = 2631325617228367872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7698070 + ... + 7698218.

It is an arithmetic number, because the mean of its divisors is an integer number (17222625).

Almost surely, 2^1147023456 is an apocalyptic number.

1147023456 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 1147023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653372000).

1147023456 is an abundant number, since it is smaller than the sum of its proper divisors (2159720544).

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

1147023456 is a wasteful number, since it uses less digits than its factorization.

1147023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1147023456 is about 33867.7347338141. The cubic root of 1147023456 is about 1046.7848608642.

The spelling of 1147023456 in words is "one billion, one hundred forty-seven million, twenty-three thousand, four hundred fifty-six".