214455345551300 has 144 divisors (see below), whose sum is σ = 537008637247488. Its totient is φ = 72814752144000.

The previous prime is 214455345551267. The next prime is 214455345551303. The reversal of 214455345551300 is 3155543554412.

It is not an unprimeable number, because it can be changed into a prime (214455345551303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213037757 + ... + 214042043.

It is an arithmetic number, because the mean of its divisors is an integer number (3729226647552).

Almost surely, 2^{214455345551300} is an apocalyptic number.

214455345551300 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 214455345551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268504318623744).

214455345551300 is an abundant number, since it is smaller than the sum of its proper divisors (322553291696188).

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

214455345551300 is a wasteful number, since it uses less digits than its factorization.

214455345551300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007266 (or 1007259 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 47.

The spelling of 214455345551300 in words is "two hundred fourteen trillion, four hundred fifty-five billion, three hundred forty-five million, five hundred fifty-one thousand, three hundred".