1146254320288 has 288 divisors, whose sum is σ = 3084642570240. Its totient is φ = 413243389440.

The previous prime is 1146254320243. The next prime is 1146254320373. The reversal of 1146254320288 is 8820234526411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14050945 + ... + 14132287.

It is an arithmetic number, because the mean of its divisors is an integer number (10710564480).

Almost surely, 2^{1146254320288} 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 1146254320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542321285120).

1146254320288 is an abundant number, since it is smaller than the sum of its proper divisors (1938388249952).

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

1146254320288 is a wasteful number, since it uses less digits than its factorization.

1146254320288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81440 (or 81425 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

Adding to 1146254320288 its reverse (8820234526411), we get a palindrome (9966488846699).

The spelling of 1146254320288 in words is "one trillion, one hundred forty-six billion, two hundred fifty-four million, three hundred twenty thousand, two hundred eighty-eight".