1180017649216 has 224 divisors, whose sum is σ = 2886004408320. Its totient is φ = 467389440000.

The previous prime is 1180017649207. The next prime is 1180017649253. The reversal of 1180017649216 is 6129467100811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1180017649216² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421283016 + ... + 421285816.

Almost surely, 2^{1180017649216} is an apocalyptic number.

1180017649216 is a gapful number since it is divisible by the number (16) 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 1180017649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443002204160).

1180017649216 is an abundant number, since it is smaller than the sum of its proper divisors (1705986759104).

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

1180017649216 is a wasteful number, since it uses less digits than its factorization.

1180017649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 1180017649216 in words is "one trillion, one hundred eighty billion, seventeen million, six hundred forty-nine thousand, two hundred sixteen".