1431146496 has 312 divisors, whose sum is σ = 4506229504. Its totient is φ = 401080320.

The previous prime is 1431146473. The next prime is 1431146501. The reversal of 1431146496 is 6946411341.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46166001 + ... + 46166031.

Almost surely, 2^1431146496 is an apocalyptic number.

1431146496 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 1431146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253114752).

1431146496 is an abundant number, since it is smaller than the sum of its proper divisors (3075083008).

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

1431146496 is a wasteful number, since it uses less digits than its factorization.

1431146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 1431146496 is about 37830.4969039530. The cubic root of 1431146496 is about 1126.9241792405.

The spelling of 1431146496 in words is "one billion, four hundred thirty-one million, one hundred forty-six thousand, four hundred ninety-six".