11245601664 has 192 divisors, whose sum is σ = 36442298880. Its totient is φ = 3297715200.

The previous prime is 11245601663. The next prime is 11245601671. The reversal of 11245601664 is 46610654211.

11245601664 is a `hidden beast` number, since 1 + 1 + 2 + 45 + 601 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245601663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378519 + ... + 407145.

It is an arithmetic number, because the mean of its divisors is an integer number (189803640).

Almost surely, 2^11245601664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11245601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221149440).

11245601664 is an abundant number, since it is smaller than the sum of its proper divisors (25196697216).

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

11245601664 is a wasteful number, since it uses less digits than its factorization.

11245601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28689 (or 28674 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11245601664 in words is "eleven billion, two hundred forty-five million, six hundred one thousand, six hundred sixty-four".