214997533920 has 1728 divisors, whose sum is σ = 934541375040. Its totient is φ = 44431441920.

The previous prime is 214997533913. The next prime is 214997533963. The reversal of 214997533920 is 29335799412.

214997533920 is a `hidden beast` number, since 2 + 14 + 9 + 9 + 7 + 533 + 92 + 0 = 666.

214997533920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214997533920³ (a number of 35 digits) contains 333 as substring.

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, 5810744142 + ... + 5810744178.

It is an arithmetic number, because the mean of its divisors is an integer number (540822555).

Almost surely, 2^214997533920 is an apocalyptic number.

214997533920 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 214997533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467270687520).

214997533920 is an abundant number, since it is smaller than the sum of its proper divisors (719543841120).

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

214997533920 is a wasteful number, since it uses less digits than its factorization.

214997533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 214997533920 in words is "two hundred fourteen billion, nine hundred ninety-seven million, five hundred thirty-three thousand, nine hundred twenty".