1431254225856 has 448 divisors, whose sum is σ = 4751749094400. Its totient is φ = 370163810304.

The previous prime is 1431254225759. The next prime is 1431254225893. The reversal of 1431254225856 is 6585224521341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228303490 + ... + 228309758.

It is an arithmetic number, because the mean of its divisors is an integer number (10606582800).

Almost surely, 2^{1431254225856} is an apocalyptic number.

1431254225856 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 1431254225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375874547200).

1431254225856 is an abundant number, since it is smaller than the sum of its proper divisors (3320494868544).

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

1431254225856 is a wasteful number, since it uses less digits than its factorization.

1431254225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 6546 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

It can be divided in two parts, 1431254 and 225856, that added together give a triangular number (1657110 = T₁₈₂₀).

The spelling of 1431254225856 in words is "one trillion, four hundred thirty-one billion, two hundred fifty-four million, two hundred twenty-five thousand, eight hundred fifty-six".