216314172480 has 448 divisors, whose sum is σ = 801813219840. Its totient is φ = 48390144000.

The previous prime is 216314172409. The next prime is 216314172509. The reversal of 216314172480 is 84271413612.

It is a tau number, because it is divible by the number of its divisors (448).

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, 60404290 + ... + 60407870.

Almost surely, 2^216314172480 is an apocalyptic number.

216314172480 is a gapful number since it is divisible by the number (20) 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 216314172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400906609920).

216314172480 is an abundant number, since it is smaller than the sum of its proper divisors (585499047360).

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

216314172480 is a wasteful number, since it uses less digits than its factorization.

216314172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 216314172480 in words is "two hundred sixteen billion, three hundred fourteen million, one hundred seventy-two thousand, four hundred eighty".