214156982055900 has 288 divisors, whose sum is σ = 706570756577280. Its totient is φ = 49612743290880.

The previous prime is 214156982055871. The next prime is 214156982055967. The reversal of 214156982055900 is 9550289651412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2463598237 + ... + 2463685163.

It is an arithmetic number, because the mean of its divisors is an integer number (2453370682560).

Almost surely, 2^{214156982055900} is an apocalyptic number.

214156982055900 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 214156982055900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353285378288640).

214156982055900 is an abundant number, since it is smaller than the sum of its proper divisors (492413774521380).

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

214156982055900 is a wasteful number, since it uses less digits than its factorization.

214156982055900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124133 (or 124126 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 214156982055900 in words is "two hundred fourteen trillion, one hundred fifty-six billion, nine hundred eighty-two million, fifty-five thousand, nine hundred".