1145680053984 has 192 divisors, whose sum is σ = 3542071680000. Its totient is φ = 359028578304.

The previous prime is 1145680053929. The next prime is 1145680054067. The reversal of 1145680053984 is 4893500865411.

It is a happy number.

1145680053984 is a `hidden beast` number, since 1 + 1 + 45 + 68 + 0 + 0 + 539 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1145680053984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13279017 + ... + 13365015.

It is an arithmetic number, because the mean of its divisors is an integer number (18448290000).

Almost surely, 2^{1145680053984} 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 1145680053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771035840000).

1145680053984 is an abundant number, since it is smaller than the sum of its proper divisors (2396391626016).

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

1145680053984 is a wasteful number, since it uses less digits than its factorization.

1145680053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86942 (or 86928 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1145680053984 in words is "one trillion, one hundred forty-five billion, six hundred eighty million, fifty-three thousand, nine hundred eighty-four".