547121383121745 has 256 divisors, whose sum is σ = 1051593587712000. Its totient is φ = 269265959424000.

The previous prime is 547121383121711. The next prime is 547121383121891.

547121383121745 is a `hidden beast` number, since 5 + 4 + 7 + 1 + 2 + 1 + 383 + 1 + 217 + 45 = 666.

547121383121745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 547121383121745 - 2¹² = 547121383117649 is a prime.

It is a super-2 number, since 2×547121383121745² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 547121383121691 and 547121383121700.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4866316191 + ... + 4866428619.

It is an arithmetic number, because the mean of its divisors is an integer number (4107787452000).

Almost surely, 2^{547121383121745} is an apocalyptic number.

It is an amenable number.

547121383121745 is a deficient number, since it is larger than the sum of its proper divisors (504472204590255).

547121383121745 is a wasteful number, since it uses less digits than its factorization.

547121383121745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113001 (or 112995 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 547121383121745 in words is "five hundred forty-seven trillion, one hundred twenty-one billion, three hundred eighty-three million, one hundred twenty-one thousand, seven hundred forty-five".