493749154656 has 240 divisors, whose sum is σ = 1475564595120. Its totient is φ = 161929912320.

The previous prime is 493749154637. The next prime is 493749154693. The reversal of 493749154656 is 656451947394.

It is a happy number.

493749154656 is a `hidden beast` number, since 4 + 9 + 37 + 4 + 9 + 1 + 546 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 493749154593 and 493749154602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236355660 + ... + 236357748.

It is an arithmetic number, because the mean of its divisors is an integer number (6148185813).

Almost surely, 2^493749154656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493749154656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737782297560).

493749154656 is an abundant number, since it is smaller than the sum of its proper divisors (981815440464).

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

493749154656 is a wasteful number, since it uses less digits than its factorization.

493749154656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3522 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 493749154656 in words is "four hundred ninety-three billion, seven hundred forty-nine million, one hundred fifty-four thousand, six hundred fifty-six".