214132759486272 has 896 divisors, whose sum is σ = 741020466769920. Its totient is φ = 59987046113280.

The previous prime is 214132759486267. The next prime is 214132759486363. The reversal of 214132759486272 is 272684957231412.

214132759486272 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 275 + 94 + 8 + 6 + 272 = 666.

It is a super-2 number, since 2×214132759486272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1552371418 + ... + 1552509350.

Almost surely, 2^{214132759486272} is an apocalyptic number.

214132759486272 is a gapful number since it is divisible by the number (22) 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 214132759486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370510233384960).

214132759486272 is an abundant number, since it is smaller than the sum of its proper divisors (526887707283648).

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

214132759486272 is a wasteful number, since it uses less digits than its factorization.

214132759486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138108 (or 138092 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 214132759486272 in words is "two hundred fourteen trillion, one hundred thirty-two billion, seven hundred fifty-nine million, four hundred eighty-six thousand, two hundred seventy-two".