11045397369600 has 1296 divisors, whose sum is σ = 43761283098624. Its totient is φ = 2635665408000.

The previous prime is 11045397369599. The next prime is 11045397369607. The reversal of 11045397369600 is 696379354011.

11045397369600 is a `hidden beast` number, since 1 + 1 + 0 + 453 + 9 + 73 + 69 + 60 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11045397369607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12948882774 + ... + 12948883626.

It is an arithmetic number, because the mean of its divisors is an integer number (33766422144).

Almost surely, 2^{11045397369600} is an apocalyptic number.

11045397369600 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 11045397369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880641549312).

11045397369600 is an abundant number, since it is smaller than the sum of its proper divisors (32715885729024).

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

11045397369600 is a wasteful number, since it uses less digits than its factorization.

11045397369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 11045397369600 in words is "eleven trillion, forty-five billion, three hundred ninety-seven million, three hundred sixty-nine thousand, six hundred".