214749211520 has 768 divisors, whose sum is σ = 630079948800. Its totient is φ = 69389844480.

The previous prime is 214749211513. The next prime is 214749211529. The reversal of 214749211520 is 25112947412.

It is a super-2 number, since 2×214749211520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214749211529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4569132137 + ... + 4569132183.

It is an arithmetic number, because the mean of its divisors is an integer number (820416600).

Almost surely, 2^214749211520 is an apocalyptic number.

214749211520 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 214749211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315039974400).

214749211520 is an abundant number, since it is smaller than the sum of its proper divisors (415330737280).

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

214749211520 is a wasteful number, since it uses less digits than its factorization.

214749211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 214749211520 in words is "two hundred fourteen billion, seven hundred forty-nine million, two hundred eleven thousand, five hundred twenty".