11345263532928 has 768 divisors, whose sum is σ = 38445479654400. Its totient is φ = 3301453209600.

The previous prime is 11345263532923. The next prime is 11345263532957. The reversal of 11345263532928 is 82923536254311.

11345263532928 is a `hidden beast` number, since 1 + 1 + 3 + 45 + 2 + 63 + 532 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345263532923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6998927958 + ... + 6998929578.

It is an arithmetic number, because the mean of its divisors is an integer number (50059218300).

Almost surely, 2^{11345263532928} is an apocalyptic number.

11345263532928 is a gapful number since it is divisible by the number (18) 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 11345263532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222739827200).

11345263532928 is an abundant number, since it is smaller than the sum of its proper divisors (27100216121472).

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

11345263532928 is a wasteful number, since it uses less digits than its factorization.

11345263532928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2569 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 11345263532928 in words is "eleven trillion, three hundred forty-five billion, two hundred sixty-three million, five hundred thirty-two thousand, nine hundred twenty-eight".