2047166788401 has 96 divisors (see below), whose sum is σ = 3574345639680. Its totient is φ = 1154540604672.

The previous prime is 2047166788393. The next prime is 2047166788411. The reversal of 2047166788401 is 1048876617402.

2047166788401 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 166 + 78 + 8 + 401 = 666.

It is not a de Polignac number, because 2047166788401 - 2³ = 2047166788393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2047166788411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31323780 + ... + 31389066.

It is an arithmetic number, because the mean of its divisors is an integer number (37232767080).

Almost surely, 2^{2047166788401} is an apocalyptic number.

2047166788401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2047166788401 is a deficient number, since it is larger than the sum of its proper divisors (1527178851279).

2047166788401 is a wasteful number, since it uses less digits than its factorization.

2047166788401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65620 (or 65607 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2047166788401 in words is "two trillion, forty-seven billion, one hundred sixty-six million, seven hundred eighty-eight thousand, four hundred one".