11474350388928 has 672 divisors, whose sum is σ = 41286204610560. Its totient is φ = 2972120186880.

The previous prime is 11474350388827. The next prime is 11474350388959. The reversal of 11474350388928 is 82988305347411.

11474350388928 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 43 + 503 + 8 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221988175 + ... + 222039857.

It is an arithmetic number, because the mean of its divisors is an integer number (61437804480).

Almost surely, 2^{11474350388928} is an apocalyptic number.

11474350388928 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 11474350388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643102305280).

11474350388928 is an abundant number, since it is smaller than the sum of its proper divisors (29811854221632).

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

11474350388928 is a wasteful number, since it uses less digits than its factorization.

11474350388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51845 (or 51832 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11474350388928 in words is "eleven trillion, four hundred seventy-four billion, three hundred fifty million, three hundred eighty-eight thousand, nine hundred twenty-eight".