214962048000 has 2112 divisors, whose sum is σ = 988345313280. Its totient is φ = 43794432000.

The previous prime is 214962047987. The next prime is 214962048083. The reversal of 214962048000 is 840269412.

214962048000 is a `hidden beast` number, since 21 + 4 + 9 + 620 + 4 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3523967970 + ... + 3523968030.

Almost surely, 2^214962048000 is an apocalyptic number.

214962048000 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 214962048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494172656640).

214962048000 is an abundant number, since it is smaller than the sum of its proper divisors (773383265280).

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

214962048000 is a wasteful number, since it uses less digits than its factorization.

214962048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 214962048000 in words is "two hundred fourteen billion, nine hundred sixty-two million, forty-eight thousand".