2319678256401 has 27 divisors (see below), whose sum is σ = 3683021678427. Its totient is φ = 1405835148960.

The previous prime is 2319678256369. The next prime is 2319678256433. The reversal of 2319678256401 is 1046528769132.

It is a happy number.

The square root of 2319678256401 is 1523049.

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

2319678256401 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 6 + 78 + 2 + 564 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2319678256369) and next prime (2319678256433).

It can be written as a sum of positive squares in only one way, i.e., 2164738403025 + 154939853376 = 1471305^2 + 393624^2 .

It is not a de Polignac number, because 2319678256401 - 2⁵ = 2319678256369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2319678256451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50237541 + ... + 50283693.

It is a 1-persistent number, because it is pandigital, but 2⋅2319678256401 = 4639356512802 is not.

Almost surely, 2^{2319678256401} is an apocalyptic number.

2319678256401 is the 1523049-th square number.

2319678256401 is the 761525-th centered octagonal number.

It is an amenable number.

2319678256401 is a deficient number, since it is larger than the sum of its proper divisors (1363343422026).

2319678256401 is an frugal number, since it uses more digits than its factorization.

2319678256401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92334 (or 46167 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2319678256401 in words is "two trillion, three hundred nineteen billion, six hundred seventy-eight million, two hundred fifty-six thousand, four hundred one".