1156077201617 has 32 divisors (see below), whose sum is σ = 1276060262400. Its totient is φ = 1040786353152.

The previous prime is 1156077201593. The next prime is 1156077201647. The reversal of 1156077201617 is 7161027706511.

It is not a de Polignac number, because 1156077201617 - 2¹⁴ = 1156077185233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1156077201647) 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 31 ways as a sum of consecutive naturals, for example, 97643984 + ... + 97655822.

It is an arithmetic number, because the mean of its divisors is an integer number (39876883200).

Almost surely, 2^{1156077201617} is an apocalyptic number.

It is an amenable number.

1156077201617 is a deficient number, since it is larger than the sum of its proper divisors (119983060783).

1156077201617 is a wasteful number, since it uses less digits than its factorization.

1156077201617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12737.

The product of its (nonzero) digits is 123480, while the sum is 44.

The spelling of 1156077201617 in words is "one trillion, one hundred fifty-six billion, seventy-seven million, two hundred one thousand, six hundred seventeen".