216687325948401 has 48 divisors (see below), whose sum is σ = 374643971846144. Its totient is φ = 108933720588000.

The previous prime is 216687325948381. The next prime is 216687325948529. The reversal of 216687325948401 is 104849523786612.

216687325948401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216687325948401 - 2⁵ = 216687325948369 is a prime.

It is a super-2 number, since 2×216687325948401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216687325948801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375346995 + ... + 1375504536.

It is a 3-persistent number, because k⋅216687325948401 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{216687325948401} is an apocalyptic number.

216687325948401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216687325948401 is a deficient number, since it is larger than the sum of its proper divisors (157956645897743).

216687325948401 is a wasteful number, since it uses less digits than its factorization.

216687325948401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750851594 (or 2750851583 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 216687325948401 in words is "two hundred sixteen trillion, six hundred eighty-seven billion, three hundred twenty-five million, nine hundred forty-eight thousand, four hundred one".