11748551443456 has 297 divisors, whose sum is σ = 25039252733061. Its totient is φ = 5509632221184.

The previous prime is 11748551443429. The next prime is 11748551443463. The reversal of 11748551443456 is 65434415584711.

The square root of 11748551443456 is 3427616.

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

It can be written as a sum of positive squares in only one way, i.e., 8469496857600 + 3279054585856 = 2910240^2 + 1810816^2 .

It is a super-2 number, since 2×11748551443456² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11748551443456.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221670781926 + ... + 221670781978.

Almost surely, 2^{11748551443456} is an apocalyptic number.

11748551443456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11748551443456 is the 3427616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11748551443456

11748551443456 is an abundant number, since it is smaller than the sum of its proper divisors (13290701289605).

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

11748551443456 is an frugal number, since it uses more digits than its factorization.

11748551443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 145 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 58.

The spelling of 11748551443456 in words is "eleven trillion, seven hundred forty-eight billion, five hundred fifty-one million, four hundred forty-three thousand, four hundred fifty-six".