214387272736 has 216 divisors, whose sum is σ = 532924796880. Its totient is φ = 84610745856.

The previous prime is 214387272727. The next prime is 214387272739. The reversal of 214387272736 is 637272783412.

It is a super-2 number, since 2×214387272736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (214387272739) 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 35 ways as a sum of consecutive naturals, for example, 164029395 + ... + 164030701.

It is an arithmetic number, because the mean of its divisors is an integer number (2467244430).

Almost surely, 2^214387272736 is an apocalyptic number.

214387272736 is a gapful number since it is divisible by the number (26) 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 214387272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266462398440).

214387272736 is an abundant number, since it is smaller than the sum of its proper divisors (318537524144).

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

214387272736 is a wasteful number, since it uses less digits than its factorization.

214387272736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1948 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 52.

The spelling of 214387272736 in words is "two hundred fourteen billion, three hundred eighty-seven million, two hundred seventy-two thousand, seven hundred thirty-six".