2138546472705 has 80 divisors (see below), whose sum is σ = 3890439362304. Its totient is φ = 1123654170240.

The previous prime is 2138546472677. The next prime is 2138546472761. The reversal of 2138546472705 is 5072746458312.

2138546472705 is a `hidden beast` number, since 2 + 1 + 38 + 546 + 47 + 27 + 0 + 5 = 666.

It is not a de Polignac number, because 2138546472705 - 2⁶ = 2138546472641 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39453532 + ... + 39507698.

Almost surely, 2^{2138546472705} is an apocalyptic number.

It is an amenable number.

2138546472705 is a deficient number, since it is larger than the sum of its proper divisors (1751892889599).

2138546472705 is a wasteful number, since it uses less digits than its factorization.

2138546472705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55628 (or 55619 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 2138546472705 in words is "two trillion, one hundred thirty-eight billion, five hundred forty-six million, four hundred seventy-two thousand, seven hundred five".