101559956668416 has 361 divisors, whose sum is σ = 304679288612371. Its totient is φ = 33853318889472.

The previous prime is 101559956668403. The next prime is 101559956668421. The reversal of 101559956668416 is 614866659955101.

It is a happy number.

The square root of 101559956668416 is 10077696.

The cubic root of 101559956668416 is 46656.

It is a perfect power (a square, a cube, a 6-th power, a 9-th power, a 18-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)¹⁸.

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 18 ways as a sum of consecutive naturals, for example, 33853318889471 + 33853318889472 + 33853318889473.

Almost surely, 2^{101559956668416} is an apocalyptic number.

101559956668416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101559956668416 is the 10077696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101559956668416

101559956668416 is an abundant number, since it is smaller than the sum of its proper divisors (203119331943955).

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

101559956668416 is an frugal number, since it uses more digits than its factorization.

101559956668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 101559956668416 in words is "one hundred one trillion, five hundred fifty-nine billion, nine hundred fifty-six million, six hundred sixty-eight thousand, four hundred sixteen".