19642302801 has 81 divisors (see below), whose sum is σ = 32461371579. Its totient is φ = 11436321600.

The previous prime is 19642302763. The next prime is 19642302821. The reversal of 19642302801 is 10820324691.

The square root of 19642302801 is 140151.

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

19642302801 is a `hidden beast` number, since 1 + 9 + 642 + 3 + 0 + 2 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11537982225 + 8104320576 = 107415^2 + 90024^2 .

It is a de Polignac number, because none of the positive numbers 2^k-19642302801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19642302821) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 143374405 + ... + 143374541.

Almost surely, 2^19642302801 is an apocalyptic number.

19642302801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19642302801 is the 140151-st square number.

19642302801 is the 70076-th centered octagonal number.

It is an amenable number.

19642302801 is a deficient number, since it is larger than the sum of its proper divisors (12819068778).

19642302801 is a wasteful number, since it uses less digits than its factorization.

19642302801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 19642302801 by its sum of digits (36), we get a square (707122900836 = 840906²).

Multiplying 19642302801 by its product of nonzero digits (20736), we get a square (407302790881536 = 20181744²).

The spelling of 19642302801 in words is "nineteen billion, six hundred forty-two million, three hundred two thousand, eight hundred one".