214345152403500 has 288 divisors, whose sum is σ = 633530434590144. Its totient is φ = 56314282752000.

The previous prime is 214345152403493. The next prime is 214345152403537. The reversal of 214345152403500 is 5304251543412.

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, 11743000374 + ... + 11743018626.

It is an arithmetic number, because the mean of its divisors is an integer number (2199758453438).

Almost surely, 2^{214345152403500} is an apocalyptic number.

214345152403500 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 214345152403500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316765217295072).

214345152403500 is an abundant number, since it is smaller than the sum of its proper divisors (419185282186644).

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

214345152403500 is a wasteful number, since it uses less digits than its factorization.

214345152403500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19970 (or 19887 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 214345152403500 in words is "two hundred fourteen trillion, three hundred forty-five billion, one hundred fifty-two million, four hundred three thousand, five hundred".