104274813942016 has 243 divisors, whose sum is σ = 215648839034419. Its totient is φ = 50322291712000.

The previous prime is 104274813941993. The next prime is 104274813942017. The reversal of 104274813942016 is 610249318472401.

The square root of 104274813942016 is 10211504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6597171702016 + 97677642240000 = 2568496^2 + 9883200^2 .

It is a super-3 number, since 3×104274813942016³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104274813942017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1032423900366 + ... + 1032423900466.

Almost surely, 2^{104274813942016} is an apocalyptic number.

104274813942016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104274813942016 is the 10211504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104274813942016

104274813942016 is an abundant number, since it is smaller than the sum of its proper divisors (111374025092403).

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

104274813942016 is an frugal number, since it uses more digits than its factorization.

104274813942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 104274813942016 in words is "one hundred four trillion, two hundred seventy-four billion, eight hundred thirteen million, nine hundred forty-two thousand, sixteen".