1154331648 has 132 divisors (see below), whose sum is σ = 3457301120. Its totient is φ = 384694272.

The previous prime is 1154331617. The next prime is 1154331653. The reversal of 1154331648 is 8461334511.

1154331648 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 3 + 3 + 1 + 648 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 246513 + ... + 251151.

Almost surely, 2^1154331648 is an apocalyptic number.

1154331648 is a gapful number since it is divisible by the number (18) 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 1154331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728650560).

1154331648 is an abundant number, since it is smaller than the sum of its proper divisors (2302969472).

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

1154331648 is an frugal number, since it uses more digits than its factorization.

1154331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4644 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1154331648 is about 33975.4565532238. The cubic root of 1154331648 is about 1049.0033318051.

The spelling of 1154331648 in words is "one billion, one hundred fifty-four million, three hundred thirty-one thousand, six hundred forty-eight".