1161661462416 has 1125 divisors, whose sum is σ = 4339531266081. Its totient is φ = 299853695232.

The previous prime is 1161661462333. The next prime is 1161661462433. The reversal of 1161661462416 is 6142641661611.

The square root of 1161661462416 is 1077804.

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

1161661462416 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 6 + 1 + 4 + 624 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171843411600 + 989818050816 = 414540^2 + 994896^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 24716201305 + ... + 24716201351.

Almost surely, 2^{1161661462416} is an apocalyptic number.

1161661462416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1161661462416 is the 1077804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161661462416

1161661462416 is an abundant number, since it is smaller than the sum of its proper divisors (3177869803665).

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

1161661462416 is an frugal number, since it uses more digits than its factorization.

1161661462416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 1161661462416 in words is "one trillion, one hundred sixty-one billion, six hundred sixty-one million, four hundred sixty-two thousand, four hundred sixteen".