214080048000 has 2304 divisors, whose sum is σ = 1035256360320. Its totient is φ = 41140224000.

The previous prime is 214080047977. The next prime is 214080048019. The reversal of 214080048000 is 840080412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6905807985 + ... + 6905808015.

Almost surely, 2^214080048000 is an apocalyptic number.

214080048000 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 214080048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517628180160).

214080048000 is an abundant number, since it is smaller than the sum of its proper divisors (821176312320).

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

214080048000 is a wasteful number, since it uses less digits than its factorization.

214080048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 214080048000 in words is "two hundred fourteen billion, eighty million, forty-eight thousand".