1154466816 has 176 divisors, whose sum is σ = 3207075840. Its totient is φ = 369008640.

The previous prime is 1154466773. The next prime is 1154466913. The reversal of 1154466816 is 6186644511.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (138240) is a multiple of the sum of its prime factors (240).

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 15 ways as a sum of consecutive naturals, for example, 14613465 + ... + 14613543.

Almost surely, 2^1154466816 is an apocalyptic number.

1154466816 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 1154466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603537920).

1154466816 is an abundant number, since it is smaller than the sum of its proper divisors (2052609024).

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

1154466816 is an equidigital number, since it uses as much as digits as its factorization.

1154466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1154466816 is about 33977.4456956376. The cubic root of 1154466816 is about 1049.0442750206.

The spelling of 1154466816 in words is "one billion, one hundred fifty-four million, four hundred sixty-six thousand, eight hundred sixteen".