1155145182016 has 56 divisors (see below), whose sum is σ = 2619839759040. Its totient is φ = 495036613632.

The previous prime is 1155145182011. The next prime is 1155145182071. The reversal of 1155145182016 is 6102815415511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1155145182016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155145182011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10454676 + ... + 10564588.

It is an arithmetic number, because the mean of its divisors is an integer number (46782852840).

Almost surely, 2^{1155145182016} is an apocalyptic number.

1155145182016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1155145182016 is an abundant number, since it is smaller than the sum of its proper divisors (1464694577024).

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

1155145182016 is a wasteful number, since it uses less digits than its factorization.

1155145182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133391 (or 133381 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The spelling of 1155145182016 in words is "one trillion, one hundred fifty-five billion, one hundred forty-five million, one hundred eighty-two thousand, sixteen".