19642694912064 has 1701 divisors, whose sum is σ = 72709374103821. Its totient is φ = 5054616483840.

The previous prime is 19642694912053. The next prime is 19642694912069. The reversal of 19642694912064 is 46021949624691.

It is a happy number.

The square root of 19642694912064 is 4432008.

It is a perfect power (a square), and thus also a powerful number.

19642694912064 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 2 + 69 + 491 + 20 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17576553153600 + 2066141758464 = 4192440^2 + 1437408^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 19642694911992 and 19642694912010.

It is not an unprimeable number, because it can be changed into a prime (19642694912069) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 530883646254 + ... + 530883646290.

Almost surely, 2^{19642694912064} is an apocalyptic number.

19642694912064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19642694912064 is the 4432008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19642694912064

19642694912064 is an abundant number, since it is smaller than the sum of its proper divisors (53066679191757).

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

19642694912064 is a wasteful number, since it uses less digits than its factorization.

19642694912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 19642694912064 in words is "nineteen trillion, six hundred forty-two billion, six hundred ninety-four million, nine hundred twelve thousand, sixty-four".