214435928053368 has 256 divisors, whose sum is σ = 700180436966400. Its totient is φ = 59523469125120.

The previous prime is 214435928053363. The next prime is 214435928053381. The reversal of 214435928053368 is 863350829534412.

214435928053368 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 5 + 92 + 8 + 0 + 533 + 6 + 8 = 666.

It is a super-2 number, since 2×214435928053368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214435928053363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35043183 + ... + 40704993.

It is an arithmetic number, because the mean of its divisors is an integer number (2735079831900).

Almost surely, 2^{214435928053368} is an apocalyptic number.

214435928053368 is a gapful number since it is divisible by the number (28) 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 214435928053368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350090218483200).

214435928053368 is an abundant number, since it is smaller than the sum of its proper divisors (485744508913032).

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

214435928053368 is a wasteful number, since it uses less digits than its factorization.

214435928053368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662547 (or 5662537 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 214435928053368 in words is "two hundred fourteen trillion, four hundred thirty-five billion, nine hundred twenty-eight million, fifty-three thousand, three hundred sixty-eight".