1145072461727 has 32 divisors (see below), whose sum is σ = 1253951000064. Its totient is φ = 1041243033600.

The previous prime is 1145072461691. The next prime is 1145072461747. The reversal of 1145072461727 is 7271642705411.

It is a cyclic number.

It is not a de Polignac number, because 1145072461727 - 2⁸ = 1145072461471 is a prime.

It is a super-2 number, since 2×1145072461727² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145072461747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51776402 + ... + 51798512.

It is an arithmetic number, because the mean of its divisors is an integer number (39185968752).

Almost surely, 2^{1145072461727} is an apocalyptic number.

1145072461727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1145072461727 is a deficient number, since it is larger than the sum of its proper divisors (108878538337).

1145072461727 is a wasteful number, since it uses less digits than its factorization.

1145072461727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22739.

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 1145072461727 in words is "one trillion, one hundred forty-five billion, seventy-two million, four hundred sixty-one thousand, seven hundred twenty-seven".