214648878080 has 352 divisors, whose sum is σ = 637632705024. Its totient is φ = 67514793984.

The previous prime is 214648878077. The next prime is 214648878089. The reversal of 214648878080 is 80878846412.

It is a super-2 number, since 2×214648878080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214648878089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80602829 + ... + 80605491.

Almost surely, 2^214648878080 is an apocalyptic number.

214648878080 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 214648878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816352512).

214648878080 is an abundant number, since it is smaller than the sum of its proper divisors (422983826944).

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

214648878080 is a wasteful number, since it uses less digits than its factorization.

214648878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 56.

The spelling of 214648878080 in words is "two hundred fourteen billion, six hundred forty-eight million, eight hundred seventy-eight thousand, eighty".