1145516359680 has 2560 divisors, whose sum is σ = 5481032832000. Its totient is φ = 221679452160.

The previous prime is 1145516359667. The next prime is 1145516359693. The reversal of 1145516359680 is 869536155411.

It is a happy number.

1145516359680 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 516 + 35 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1145516359667) and next prime (1145516359693).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19415531491 + ... + 19415531549.

It is an arithmetic number, because the mean of its divisors is an integer number (2141028450).

Almost surely, 2^{1145516359680} is an apocalyptic number.

1145516359680 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 1145516359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740516416000).

1145516359680 is an abundant number, since it is smaller than the sum of its proper divisors (4335516472320).

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

1145516359680 is an equidigital number, since it uses as much as digits as its factorization.

1145516359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1145516359680 in words is "one trillion, one hundred forty-five billion, five hundred sixteen million, three hundred fifty-nine thousand, six hundred eighty".