1146041512704 has 576 divisors, whose sum is σ = 3789163929600. Its totient is φ = 338721177600.

The previous prime is 1146041512703. The next prime is 1146041512709. The reversal of 1146041512704 is 4072151406411.

1146041512704 is a `hidden beast` number, since 1 + 14 + 60 + 4 + 1 + 512 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1146041512704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1146041512703) 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 63 ways as a sum of consecutive naturals, for example, 769671192 + ... + 769672680.

It is an arithmetic number, because the mean of its divisors is an integer number (6578409600).

Almost surely, 2^{1146041512704} 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 1146041512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894581964800).

1146041512704 is an abundant number, since it is smaller than the sum of its proper divisors (2643122416896).

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

1146041512704 is a wasteful number, since it uses less digits than its factorization.

1146041512704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1146041512704 in words is "one trillion, one hundred forty-six billion, forty-one million, five hundred twelve thousand, seven hundred four".