1145704027104 has 576 divisors, whose sum is σ = 4080578052096. Its totient is φ = 296890417152.

The previous prime is 1145704027099. The next prime is 1145704027109. The reversal of 1145704027104 is 4017204075411.

1145704027104 is a `hidden beast` number, since 1 + 14 + 570 + 4 + 0 + 2 + 71 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1145704027099) and next prime (1145704027109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145704027109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356138904 + ... + 356142120.

It is an arithmetic number, because the mean of its divisors is an integer number (7084336896).

Almost surely, 2^{1145704027104} is an apocalyptic number.

1145704027104 is a gapful number since it is divisible by the number (14) 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 1145704027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040289026048).

1145704027104 is an abundant number, since it is smaller than the sum of its proper divisors (2934874024992).

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

1145704027104 is a wasteful number, since it uses less digits than its factorization.

1145704027104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 1145704027104 in words is "one trillion, one hundred forty-five billion, seven hundred four million, twenty-seven thousand, one hundred four".