11419505064 has 448 divisors, whose sum is σ = 38217925440. Its totient is φ = 3157678080.

The previous prime is 11419505059. The next prime is 11419505087. The reversal of 11419505064 is 46050591411.

11419505064 is a `hidden beast` number, since 1 + 141 + 9 + 5 + 0 + 506 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40351467 + ... + 40351749.

Almost surely, 2^11419505064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11419505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108962720).

11419505064 is an abundant number, since it is smaller than the sum of its proper divisors (26798420376).

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

11419505064 is a wasteful number, since it uses less digits than its factorization.

11419505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11419505064 in words is "eleven billion, four hundred nineteen million, five hundred five thousand, sixty-four".