11358488064 has 320 divisors, whose sum is σ = 38055992832. Its totient is φ = 2924544000.

The previous prime is 11358488047. The next prime is 11358488077. The reversal of 11358488064 is 46088485311.

It is a super-2 number, since 2×11358488064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16202914 + ... + 16203614.

Almost surely, 2^11358488064 is an apocalyptic number.

11358488064 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 11358488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027996416).

11358488064 is an abundant number, since it is smaller than the sum of its proper divisors (26697504768).

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

11358488064 is a wasteful number, since it uses less digits than its factorization.

11358488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 11358488064 in words is "eleven billion, three hundred fifty-eight million, four hundred eighty-eight thousand, sixty-four".