19978674002001 has 405 divisors, whose sum is σ = 37381152672171. Its totient is φ = 10620128376000.

The previous prime is 19978674001999. The next prime is 19978674002051. The reversal of 19978674002001 is 10020047687991.

The square root of 19978674002001 is 4469751.

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

19978674002001 is a `hidden beast` number, since 1 + 99 + 78 + 67 + 400 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2955425148225 + 17023248853776 = 1719135^2 + 4125924^2 .

It is not a de Polignac number, because 19978674002001 - 2¹ = 19978674001999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19978674002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 132309099276 + ... + 132309099426.

Almost surely, 2^{19978674002001} is an apocalyptic number.

19978674002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19978674002001 is the 4469751-st square number.

19978674002001 is the 2234876-th centered octagonal number.

It is an amenable number.

19978674002001 is a deficient number, since it is larger than the sum of its proper divisors (17402478670170).

19978674002001 is a wasteful number, since it uses less digits than its factorization.

19978674002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 19978674002001 in words is "nineteen trillion, nine hundred seventy-eight billion, six hundred seventy-four million, two thousand, one".