1146249606528 has 384 divisors, whose sum is σ = 3578046151680. Its totient is φ = 350136041472.

The previous prime is 1146249606493. The next prime is 1146249606569. The reversal of 1146249606528 is 8256069426411.

It is a happy number.

1146249606528 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 2 + 4 + 9 + 606 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1932967000 + ... + 1932967592.

It is an arithmetic number, because the mean of its divisors is an integer number (9317828520).

Almost surely, 2^{1146249606528} is an apocalyptic number.

1146249606528 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 1146249606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789023075840).

1146249606528 is an abundant number, since it is smaller than the sum of its proper divisors (2431796545152).

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

1146249606528 is a wasteful number, since it uses less digits than its factorization.

1146249606528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1146249606528 in words is "one trillion, one hundred forty-six billion, two hundred forty-nine million, six hundred six thousand, five hundred twenty-eight".