1451112314256 has 640 divisors, whose sum is σ = 4788047116800. Its totient is φ = 416747520000.

The previous prime is 1451112314237. The next prime is 1451112314257. The reversal of 1451112314256 is 6524132111541.

1451112314256 is a `hidden beast` number, since 1 + 4 + 511 + 123 + 14 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1451112314256.

It is not an unprimeable number, because it can be changed into a prime (1451112314257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1906848916 + ... + 1906849676.

It is an arithmetic number, because the mean of its divisors is an integer number (7481323620).

Almost surely, 2^{1451112314256} is an apocalyptic number.

1451112314256 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 1451112314256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394023558400).

1451112314256 is an abundant number, since it is smaller than the sum of its proper divisors (3336934802544).

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

1451112314256 is a wasteful number, since it uses less digits than its factorization.

1451112314256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 1451112314256 its reverse (6524132111541), we get a palindrome (7975244425797).

The spelling of 1451112314256 in words is "one trillion, four hundred fifty-one billion, one hundred twelve million, three hundred fourteen thousand, two hundred fifty-six".