1161516672 has 192 divisors, whose sum is σ = 3508596000. Its totient is φ = 382454784.

The previous prime is 1161516667. The next prime is 1161516673. The reversal of 1161516672 is 2766151611.

It is a happy number.

1161516672 is a `hidden beast` number, since 11 + 61 + 516 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1161516673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327954 + ... + 3328302.

Almost surely, 2^1161516672 is an apocalyptic number.

1161516672 is a gapful number since it is divisible by the number (12) 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 1161516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754298000).

1161516672 is an abundant number, since it is smaller than the sum of its proper divisors (2347079328).

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

1161516672 is an equidigital number, since it uses as much as digits as its factorization.

1161516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1161516672 is about 34081.0309703213. The cubic root of 1161516672 is about 1051.1753043551.

The spelling of 1161516672 in words is "one billion, one hundred sixty-one million, five hundred sixteen thousand, six hundred seventy-two".