2005655914746 has 32 divisors (see below), whose sum is σ = 4862196158400. Its totient is φ = 607774519440.

The previous prime is 2005655914739. The next prime is 2005655914763. The reversal of 2005655914746 is 6474195565002.

2005655914746 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 6 + 5 + 591 + 4 + 7 + 46 = 666.

It is a super-2 number, since 2×2005655914746² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2005655914692 and 2005655914701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688261961 + ... + 1688263148.

It is an arithmetic number, because the mean of its divisors is an integer number (151943629950).

Almost surely, 2^{2005655914746} is an apocalyptic number.

2005655914746 is an abundant number, since it is smaller than the sum of its proper divisors (2856540243654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005655914746 is a wasteful number, since it uses less digits than its factorization.

2005655914746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376525131 (or 3376525125 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2005655914746 in words is "two trillion, five billion, six hundred fifty-five million, nine hundred fourteen thousand, seven hundred forty-six".