214128674760 has 512 divisors, whose sum is σ = 885833625600. Its totient is φ = 39960760320.

The previous prime is 214128674743. The next prime is 214128674813. The reversal of 214128674760 is 67476821412.

It is a super-2 number, since 2×214128674760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4420351 + ... + 4468529.

It is an arithmetic number, because the mean of its divisors is an integer number (1730143800).

Almost surely, 2^214128674760 is an apocalyptic number.

214128674760 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 214128674760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442916812800).

214128674760 is an abundant number, since it is smaller than the sum of its proper divisors (671704950840).

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

214128674760 is a wasteful number, since it uses less digits than its factorization.

214128674760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48261 (or 48257 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

It can be divided in two parts, 214128 and 674760, that added together give a palindrome (888888).

The spelling of 214128674760 in words is "two hundred fourteen billion, one hundred twenty-eight million, six hundred seventy-four thousand, seven hundred sixty".