1334906496 has 384 divisors, whose sum is σ = 4869072000. Its totient is φ = 340992000.

The previous prime is 1334906483. The next prime is 1334906497. The reversal of 1334906496 is 6946094331.

1334906496 is a `hidden beast` number, since 13 + 3 + 490 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1334906497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8959030 + ... + 8959178.

It is an arithmetic number, because the mean of its divisors is an integer number (12679875).

Almost surely, 2^1334906496 is an apocalyptic number.

1334906496 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 1334906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434536000).

1334906496 is an abundant number, since it is smaller than the sum of its proper divisors (3534165504).

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

1334906496 is a wasteful number, since it uses less digits than its factorization.

1334906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1334906496 is about 36536.3722337071. The cubic root of 1334906496 is about 1101.0751185547.

The spelling of 1334906496 in words is "one billion, three hundred thirty-four million, nine hundred six thousand, four hundred ninety-six".