214036378069248 has 540 divisors, whose sum is σ = 786088194177132. Its totient is φ = 57555996180480.

The previous prime is 214036378069243. The next prime is 214036378069271. The reversal of 214036378069248 is 842960873630412.

214036378069248 is a `hidden beast` number, since 2 + 1 + 403 + 63 + 7 + 80 + 6 + 92 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171160493140224 + 42875884929024 = 13082832^2 + 6547968^2 .

It is a super-2 number, since 2×214036378069248² (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 not an unprimeable number, because it can be changed into a prime (214036378069243) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 11077428 + ... + 23468748.

Almost surely, 2^{214036378069248} is an apocalyptic number.

214036378069248 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 214036378069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393044097088566).

214036378069248 is an abundant number, since it is smaller than the sum of its proper divisors (572051816107884).

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

214036378069248 is a wasteful number, since it uses less digits than its factorization.

214036378069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391380 (or 12391350 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 214036378069248 in words is "two hundred fourteen trillion, thirty-six billion, three hundred seventy-eight million, sixty-nine thousand, two hundred forty-eight".