216341310002532 has 192 divisors, whose sum is σ = 595515573725184. Its totient is φ = 60263476162560.

The previous prime is 216341310002423. The next prime is 216341310002549. The reversal of 216341310002532 is 235200013143612.

216341310002532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216341310002532² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 216341310002493 and 216341310002502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780265588 + ... + 780542804.

It is an arithmetic number, because the mean of its divisors is an integer number (3101643613152).

Almost surely, 2^{216341310002532} is an apocalyptic number.

216341310002532 is a gapful number since it is divisible by the number (22) 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 216341310002532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297757786862592).

216341310002532 is an abundant number, since it is smaller than the sum of its proper divisors (379174263722652).

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

216341310002532 is a wasteful number, since it uses less digits than its factorization.

216341310002532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279138 (or 279136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 216341310002532 in words is "two hundred sixteen trillion, three hundred forty-one billion, three hundred ten million, two thousand, five hundred thirty-two".