1154398336 has 256 divisors, whose sum is σ = 3070771200. Its totient is φ = 419696640.

The previous prime is 1154398319. The next prime is 1154398369. The reversal of 1154398336 is 6338934511.

1154398336 = T₄₉₁ + T₄₉₂ + ... + T₁₉₁₆.

It is a junction number, because it is equal to n+sod(n) for n = 1154398292 and 1154398301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8304955 + ... + 8305093.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^1154398336 is an apocalyptic number.

1154398336 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 1154398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535385600).

1154398336 is an abundant number, since it is smaller than the sum of its proper divisors (1916372864).

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

1154398336 is a wasteful number, since it uses less digits than its factorization.

1154398336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 1154398336 is about 33976.4379533818. The cubic root of 1154398336 is about 1049.0235324084.

The spelling of 1154398336 in words is "one billion, one hundred fifty-four million, three hundred ninety-eight thousand, three hundred thirty-six".