11363091264 has 224 divisors, whose sum is σ = 38461858560. Its totient is φ = 3222429696.

The previous prime is 11363091251. The next prime is 11363091293. The reversal of 11363091264 is 46219036311.

11363091264 is a `hidden beast` number, since 1 + 1 + 3 + 630 + 9 + 12 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653724 + ... + 1660580.

Almost surely, 2^11363091264 is an apocalyptic number.

11363091264 is a gapful number since it is divisible by the number (14) 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 11363091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230929280).

11363091264 is an abundant number, since it is smaller than the sum of its proper divisors (27098767296).

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

11363091264 is a wasteful number, since it uses less digits than its factorization.

11363091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11363091264 in words is "eleven billion, three hundred sixty-three million, ninety-one thousand, two hundred sixty-four".