1534144269456 has 160 divisors (see below), whose sum is σ = 4425650470400. Its totient is φ = 508822871040.

The previous prime is 1534144269407. The next prime is 1534144269461. The reversal of 1534144269456 is 6549624414351.

1534144269456 is a `hidden beast` number, since 1 + 53 + 41 + 4 + 42 + 69 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70134201 + ... + 70156071.

It is an arithmetic number, because the mean of its divisors is an integer number (27660315440).

Almost surely, 2^{1534144269456} is an apocalyptic number.

1534144269456 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 1534144269456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212825235200).

1534144269456 is an abundant number, since it is smaller than the sum of its proper divisors (2891506200944).

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

1534144269456 is a wasteful number, since it uses less digits than its factorization.

1534144269456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 22682 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 1534144269456 in words is "one trillion, five hundred thirty-four billion, one hundred forty-four million, two hundred sixty-nine thousand, four hundred fifty-six".