213714428880 has 80 divisors (see below), whose sum is σ = 662822915904. Its totient is φ = 56964003840.

The previous prime is 213714428857. The next prime is 213714428887. The reversal of 213714428880 is 88824417312.

213714428880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×213714428880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213714428887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312607 + ... + 724673.

Almost surely, 2^213714428880 is an apocalyptic number.

213714428880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213714428880 is an abundant number, since it is smaller than the sum of its proper divisors (449108487024).

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

213714428880 is a wasteful number, since it uses less digits than its factorization.

213714428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414244 (or 414238 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 213714428880 in words is "two hundred thirteen billion, seven hundred fourteen million, four hundred twenty-eight thousand, eight hundred eighty".