19056493764 has 648 divisors, whose sum is σ = 67110650880. Its totient is φ = 4526565120.

The previous prime is 19056493763. The next prime is 19056493769. The reversal of 19056493764 is 46739465091.

19056493764 is a `hidden beast` number, since 1 + 9 + 0 + 564 + 9 + 3 + 76 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19056493764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19056493763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 150051069 + ... + 150051195.

Almost surely, 2^19056493764 is an apocalyptic number.

19056493764 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 19056493764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33555325440).

19056493764 is an abundant number, since it is smaller than the sum of its proper divisors (48054157116).

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

19056493764 is a wasteful number, since it uses less digits than its factorization.

19056493764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 19056493764 in words is "nineteen billion, fifty-six million, four hundred ninety-three thousand, seven hundred sixty-four".