1181114880 has 480 divisors, whose sum is σ = 4388719104. Its totient is φ = 270336000.

The previous prime is 1181114863. The next prime is 1181114897. The reversal of 1181114880 is 884111811.

It is an interprime number because it is at equal distance from previous prime (1181114863) and next prime (1181114897).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28807660 + ... + 28807700.

Almost surely, 2^1181114880 is an apocalyptic number.

1181114880 is a gapful number since it is divisible by the number (10) 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 1181114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194359552).

1181114880 is an abundant number, since it is smaller than the sum of its proper divisors (3207604224).

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

1181114880 is a wasteful number, since it uses less digits than its factorization.

1181114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 33.

The square root of 1181114880 is about 34367.3519491974. The cubic root of 1181114880 is about 1057.0545021985.

The spelling of 1181114880 in words is "one billion, one hundred eighty-one million, one hundred fourteen thousand, eight hundred eighty".