1143029216448 has 448 divisors, whose sum is σ = 4013265674240. Its totient is φ = 316036546560.

The previous prime is 1143029216363. The next prime is 1143029216467. The reversal of 1143029216448 is 8446129203411.

1143029216448 is a `hidden beast` number, since 11 + 430 + 2 + 9 + 2 + 164 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30354240 + ... + 30391872.

Almost surely, 2^{1143029216448} is an apocalyptic number.

1143029216448 is a gapful number since it is divisible by the number (18) 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 1143029216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006632837120).

1143029216448 is an abundant number, since it is smaller than the sum of its proper divisors (2870236457792).

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

1143029216448 is an frugal number, since it uses more digits than its factorization.

1143029216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37704 (or 37676 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1143029216448 in words is "one trillion, one hundred forty-three billion, twenty-nine million, two hundred sixteen thousand, four hundred forty-eight".