11518149945600 has 729 divisors, whose sum is σ = 41942156026953. Its totient is φ = 3015684771840.

The previous prime is 11518149945583. The next prime is 11518149945611. The reversal of 11518149945600 is 654994181511.

The square root of 11518149945600 is 3393840.

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

11518149945600 is a `hidden beast` number, since 1 + 1 + 5 + 18 + 14 + 9 + 9 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4146533980416 + 7371615965184 = 2036304^2 + 2715072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64347206311 + ... + 64347206489.

Almost surely, 2^{11518149945600} is an apocalyptic number.

11518149945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11518149945600 is the 3393840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11518149945600

11518149945600 is an abundant number, since it is smaller than the sum of its proper divisors (30424006081353).

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

11518149945600 is an frugal number, since it uses more digits than its factorization.

11518149945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11518149945600 in words is "eleven trillion, five hundred eighteen billion, one hundred forty-nine million, nine hundred forty-five thousand, six hundred".