1449072846144 has 560 divisors, whose sum is σ = 5469452144640. Its totient is φ = 368369648640.

The previous prime is 1449072846103. The next prime is 1449072846161. The reversal of 1449072846144 is 4416482709441.

1449072846144 is a `hidden beast` number, since 1 + 4 + 490 + 7 + 2 + 8 + 4 + 6 + 144 = 666.

It is a super-2 number, since 2×1449072846144² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18722277 + ... + 18799515.

Almost surely, 2^{1449072846144} is an apocalyptic number.

1449072846144 is a gapful number since it is divisible by the number (14) 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 1449072846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734726072320).

1449072846144 is an abundant number, since it is smaller than the sum of its proper divisors (4020379298496).

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

1449072846144 is a wasteful number, since it uses less digits than its factorization.

1449072846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77328 (or 77309 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1449072846144 in words is "one trillion, four hundred forty-nine billion, seventy-two million, eight hundred forty-six thousand, one hundred forty-four".