214990284432 has 320 divisors, whose sum is σ = 729807575040. Its totient is φ = 52835328000.

The previous prime is 214990284427. The next prime is 214990284461. The reversal of 214990284432 is 234482099412.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76753432 + ... + 76756232.

It is an arithmetic number, because the mean of its divisors is an integer number (2280648672).

Almost surely, 2^214990284432 is an apocalyptic number.

214990284432 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 214990284432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364903787520).

214990284432 is an abundant number, since it is smaller than the sum of its proper divisors (514817290608).

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

214990284432 is a wasteful number, since it uses less digits than its factorization.

214990284432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 214990284432 in words is "two hundred fourteen billion, nine hundred ninety million, two hundred eighty-four thousand, four hundred thirty-two".