11274546645600 has 1152 divisors, whose sum is σ = 43896760427520. Its totient is φ = 2460012871680.

The previous prime is 11274546645599. The next prime is 11274546645613. The reversal of 11274546645600 is 654664547211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14893720422 + ... + 14893721178.

It is an arithmetic number, because the mean of its divisors is an integer number (38104826760).

Almost surely, 2^{11274546645600} is an apocalyptic number.

11274546645600 is a gapful number since it is divisible by the number (10) 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 11274546645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21948380213760).

11274546645600 is an abundant number, since it is smaller than the sum of its proper divisors (32622213781920).

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

11274546645600 is a wasteful number, since it uses less digits than its factorization.

11274546645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 11274546645600 in words is "eleven trillion, two hundred seventy-four billion, five hundred forty-six million, six hundred forty-five thousand, six hundred".