1177867407616 has 81 divisors (see below), whose sum is σ = 2436044479141. Its totient is φ = 568382538752.

The previous prime is 1177867407611. The next prime is 1177867407677. The reversal of 1177867407616 is 6167047687711.

The square root of 1177867407616 is 1085296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 617645097216 + 560222310400 = 785904^2 + 748480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1177867407611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503576175 + ... + 503578513.

Almost surely, 2^{1177867407616} is an apocalyptic number.

1177867407616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1177867407616 is the 1085296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1177867407616

1177867407616 is an abundant number, since it is smaller than the sum of its proper divisors (1258177071525).

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

1177867407616 is an frugal number, since it uses more digits than its factorization.

1177867407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 61.

The spelling of 1177867407616 in words is "one trillion, one hundred seventy-seven billion, eight hundred sixty-seven million, four hundred seven thousand, six hundred sixteen".