19380014349696 has 4096 divisors, whose sum is σ = 84605888102400. Its totient is φ = 4256818790400.

The previous prime is 19380014349659. The next prime is 19380014349721. The reversal of 19380014349696 is 69694341008391.

19380014349696 is a `hidden beast` number, since 19 + 3 + 8 + 0 + 0 + 1 + 43 + 496 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 199793962320 + ... + 199793962416.

It is an arithmetic number, because the mean of its divisors is an integer number (20655734400).

Almost surely, 2^{19380014349696} is an apocalyptic number.

19380014349696 is a gapful number since it is divisible by the number (16) 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 19380014349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302944051200).

19380014349696 is an abundant number, since it is smaller than the sum of its proper divisors (65225873752704).

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

19380014349696 is a wasteful number, since it uses less digits than its factorization.

19380014349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 19380014349696 in words is "nineteen trillion, three hundred eighty billion, fourteen million, three hundred forty-nine thousand, six hundred ninety-six".