797616418089348 has 480 divisors, whose sum is σ = 2492024447582208. Its totient is φ = 219283829856000.

The previous prime is 797616418089313. The next prime is 797616418089389. The reversal of 797616418089348 is 843980814616797.

797616418089348 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 16 + 4 + 180 + 89 + 348 = 666.

It is a super-2 number, since 2×797616418089348² (a number of 31 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628972123 + ... + 630238973.

Almost surely, 2^{797616418089348} is an apocalyptic number.

797616418089348 is a gapful number since it is divisible by the number (78) 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 797616418089348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246012223791104).

797616418089348 is an abundant number, since it is smaller than the sum of its proper divisors (1694408029492860).

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

797616418089348 is a wasteful number, since it uses less digits than its factorization.

797616418089348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267125 (or 1267114 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 797616418089348 in words is "seven hundred ninety-seven trillion, six hundred sixteen billion, four hundred eighteen million, eighty-nine thousand, three hundred forty-eight".