1144497238560 has 1152 divisors, whose sum is σ = 4473672892416. Its totient is φ = 264478556160.

The previous prime is 1144497238553. The next prime is 1144497238583. The reversal of 1144497238560 is 658327944411.

1144497238560 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 9 + 72 + 3 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1144497238497 and 1144497238506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3906133774 + ... + 3906134066.

It is an arithmetic number, because the mean of its divisors is an integer number (3883396608).

It is a 1-persistent number, because it is pandigital, but 2⋅1144497238560 = 2288994477120 is not.

Almost surely, 2^{1144497238560} is an apocalyptic number.

1144497238560 is a gapful number since it is divisible by the number (10) 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 1144497238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236836446208).

1144497238560 is an abundant number, since it is smaller than the sum of its proper divisors (3329175653856).

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

1144497238560 is a wasteful number, since it uses less digits than its factorization.

1144497238560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1144497238560 in words is "one trillion, one hundred forty-four billion, four hundred ninety-seven million, two hundred thirty-eight thousand, five hundred sixty".