486735114797568 has 1680 divisors, whose sum is σ = 1810368013424256. Its totient is φ = 127949653278720.

The previous prime is 486735114797531. The next prime is 486735114797573. The reversal of 486735114797568 is 865797411537684.

486735114797568 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 3 + 5 + 1 + 1 + 47 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×486735114797568² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 148803151773 + ... + 148803155043.

Almost surely, 2^{486735114797568} is an apocalyptic number.

486735114797568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486735114797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905184006712128).

486735114797568 is an abundant number, since it is smaller than the sum of its proper divisors (1323632898626688).

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

486735114797568 is an equidigital number, since it uses as much as digits as its factorization.

486735114797568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3633 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 81.

The spelling of 486735114797568 in words is "four hundred eighty-six trillion, seven hundred thirty-five billion, one hundred fourteen million, seven hundred ninety-seven thousand, five hundred sixty-eight".