1144076161536 has 960 divisors, whose sum is σ = 4294015165440. Its totient is φ = 295433256960.

The previous prime is 1144076161531. The next prime is 1144076161573. The reversal of 1144076161536 is 6351616704411.

1144076161536 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 76 + 1 + 6 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1144076161491 and 1144076161500.

It is not an unprimeable number, because it can be changed into a prime (1144076161531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2941069630 + ... + 2941070018.

It is an arithmetic number, because the mean of its divisors is an integer number (4472932464).

Almost surely, 2^{1144076161536} is an apocalyptic number.

1144076161536 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 1144076161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147007582720).

1144076161536 is an abundant number, since it is smaller than the sum of its proper divisors (3149939003904).

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

1144076161536 is an equidigital number, since it uses as much as digits as its factorization.

1144076161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1144076161536 in words is "one trillion, one hundred forty-four billion, seventy-six million, one hundred sixty-one thousand, five hundred thirty-six".