493746454656 has 256 divisors, whose sum is σ = 1793524588800. Its totient is φ = 130218762240.

The previous prime is 493746454639. The next prime is 493746454673. The reversal of 493746454656 is 656454647394.

493746454656 is a `hidden beast` number, since 4 + 9 + 37 + 4 + 6 + 4 + 546 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (493746454639) and next prime (493746454673).

It is a super-2 number, since 2×493746454656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 493746454593 and 493746454602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470485 + ... + 1099476.

It is an arithmetic number, because the mean of its divisors is an integer number (7005955425).

Almost surely, 2^493746454656 is an apocalyptic number.

It is an amenable number.

493746454656 is an abundant number, since it is smaller than the sum of its proper divisors (1299778134144).

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

493746454656 is a wasteful number, since it uses less digits than its factorization.

493746454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570004 (or 1569986 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 493746454656 in words is "four hundred ninety-three billion, seven hundred forty-six million, four hundred fifty-four thousand, six hundred fifty-six".