1454144659968 has 1440 divisors, whose sum is σ = 5613753911040. Its totient is φ = 329692446720.

The previous prime is 1454144659943. The next prime is 1454144659969. The reversal of 1454144659968 is 8699564414541.

It is a super-2 number, since 2×1454144659968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1454144659899 and 1454144659908.

It is not an unprimeable number, because it can be changed into a prime (1454144659969) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2658399471 + ... + 2658400017.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440216).

Almost surely, 2^{1454144659968} 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 1454144659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806876955520).

1454144659968 is an abundant number, since it is smaller than the sum of its proper divisors (4159609251072).

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

1454144659968 is a wasteful number, since it uses less digits than its factorization.

1454144659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 602 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 66.

It can be divided in two parts, 1454144 and 659968, that added together give a palindrome (2114112).

The spelling of 1454144659968 in words is "one trillion, four hundred fifty-four billion, one hundred forty-four million, six hundred fifty-nine thousand, nine hundred sixty-eight".