1146523610880 has 1008 divisors, whose sum is σ = 4256213351040. Its totient is φ = 295636303872.

The previous prime is 1146523610873. The next prime is 1146523610887. The reversal of 1146523610880 is 880163256411.

1146523610880 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 23 + 610 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1146523610873) and next prime (1146523610887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146523610887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4797169801 + ... + 4797170039.

It is an arithmetic number, because the mean of its divisors is an integer number (4222433880).

Almost surely, 2^{1146523610880} is an apocalyptic number.

1146523610880 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 1146523610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128106675520).

1146523610880 is an abundant number, since it is smaller than the sum of its proper divisors (3109689740160).

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

1146523610880 is an frugal number, since it uses more digits than its factorization.

1146523610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1146523610880 in words is "one trillion, one hundred forty-six billion, five hundred twenty-three million, six hundred ten thousand, eight hundred eighty".