492677217068544 has 1600 divisors, whose sum is σ = 1585793369014272. Its totient is φ = 151998529536000.

The previous prime is 492677217068501. The next prime is 492677217068591. The reversal of 492677217068544 is 445860712776294.

It is a happy number.

492677217068544 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 7 + 7 + 2 + 1 + 70 + 6 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 811659335889 + ... + 811659336495.

Almost surely, 2^{492677217068544} 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 492677217068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792896684507136).

492677217068544 is an abundant number, since it is smaller than the sum of its proper divisors (1093116151945728).

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

492677217068544 is a wasteful number, since it uses less digits than its factorization.

492677217068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 492677217068544 in words is "four hundred ninety-two trillion, six hundred seventy-seven billion, two hundred seventeen million, sixty-eight thousand, five hundred forty-four".