1076345117145 has 48 divisors (see below), whose sum is σ = 1874023257600. Its totient is φ = 571480344960.

The previous prime is 1076345117137. The next prime is 1076345117149. The reversal of 1076345117145 is 5417115436701.

1076345117145 is a `hidden beast` number, since 1 + 0 + 7 + 63 + 4 + 511 + 71 + 4 + 5 = 666.

It is not a de Polignac number, because 1076345117145 - 2³ = 1076345117137 is a prime.

It is a super-3 number, since 3×1076345117145³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1076345117145.

It is not an unprimeable number, because it can be changed into a prime (1076345117149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42050011 + ... + 42075599.

It is an arithmetic number, because the mean of its divisors is an integer number (39042151200).

Almost surely, 2^{1076345117145} is an apocalyptic number.

1076345117145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1076345117145 is a deficient number, since it is larger than the sum of its proper divisors (797678140455).

1076345117145 is a wasteful number, since it uses less digits than its factorization.

1076345117145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29750 (or 29747 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1076345117145 in words is "one trillion, seventy-six billion, three hundred forty-five million, one hundred seventeen thousand, one hundred forty-five".