11304928648512 has 560 divisors, whose sum is σ = 34551762727680. Its totient is φ = 3653506695168.

The previous prime is 11304928648469. The next prime is 11304928648537. The reversal of 11304928648512 is 21584682940311.

11304928648512 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 9 + 2 + 86 + 48 + 512 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7944432633 + ... + 7944434055.

Almost surely, 2^{11304928648512} is an apocalyptic number.

11304928648512 is a gapful number since it is divisible by the number (12) 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 11304928648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275881363840).

11304928648512 is an abundant number, since it is smaller than the sum of its proper divisors (23246834079168).

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

11304928648512 is a wasteful number, since it uses less digits than its factorization.

11304928648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11304928648512 in words is "eleven trillion, three hundred four billion, nine hundred twenty-eight million, six hundred forty-eight thousand, five hundred twelve".