1166149453456 has 135 divisors (see below), whose sum is σ = 2584494464859. Its totient is φ = 509428797696.

The previous prime is 1166149453411. The next prime is 1166149453457. The reversal of 1166149453456 is 6543549416611.

The square root of 1166149453456 is 1079884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 85214951056 + 1080934502400 = 291916^2 + 1039680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1166149453397 and 1166149453406.

It is not an unprimeable number, because it can be changed into a prime (1166149453457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1066924846 + ... + 1066925938.

Almost surely, 2^{1166149453456} is an apocalyptic number.

1166149453456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1166149453456 is the 1079884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166149453456

1166149453456 is an abundant number, since it is smaller than the sum of its proper divisors (1418345011403).

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

1166149453456 is an equidigital number, since it uses as much as digits as its factorization.

1166149453456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1127 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 55.

It can be divided in two parts, 116614945 and 3456, that added together give a square (116618401 = 10799²).

The spelling of 1166149453456 in words is "one trillion, one hundred sixty-six billion, one hundred forty-nine million, four hundred fifty-three thousand, four hundred fifty-six".