1431886368 has 96 divisors (see below), whose sum is σ = 4241885760. Its totient is φ = 418933760.

The previous prime is 1431886363. The next prime is 1431886381. The reversal of 1431886368 is 8636881341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1431886363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7246 + ... + 54002.

It is an arithmetic number, because the mean of its divisors is an integer number (44186310).

Almost surely, 2^1431886368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431886368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120942880).

1431886368 is an abundant number, since it is smaller than the sum of its proper divisors (2809999392).

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

1431886368 is a wasteful number, since it uses less digits than its factorization.

1431886368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46810 (or 46802 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1431886368 is about 37840.2744176096. The cubic root of 1431886368 is about 1127.1183443168.

The spelling of 1431886368 in words is "one billion, four hundred thirty-one million, eight hundred eighty-six thousand, three hundred sixty-eight".