19214878688064 has 168 divisors, whose sum is σ = 57208430330688. Its totient is φ = 6394575559680.

The previous prime is 19214878688041. The next prime is 19214878688147. The reversal of 19214878688064 is 46088687841291.

It is a happy number.

19214878688064 is a `hidden beast` number, since 1 + 9 + 2 + 1 + 487 + 8 + 6 + 8 + 80 + 64 = 666.

It is a super-2 number, since 2×19214878688064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19214878687983 and 19214878688001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8594349 + ... + 10596819.

It is an arithmetic number, because the mean of its divisors is an integer number (340526371016).

Almost surely, 2^{19214878688064} 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 19214878688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604215165344).

19214878688064 is an abundant number, since it is smaller than the sum of its proper divisors (37993551642624).

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

19214878688064 is an equidigital number, since it uses as much as digits as its factorization.

19214878688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003115 (or 2003093 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 19214878688064 in words is "nineteen trillion, two hundred fourteen billion, eight hundred seventy-eight million, six hundred eighty-eight thousand, sixty-four".