211733230715136 has 567 divisors, whose sum is σ = 686427425010957. Its totient is φ = 65123542149120.

The previous prime is 211733230715119. The next prime is 211733230715137. The reversal of 211733230715136 is 631517032337112.

The square root of 211733230715136 is 14551056.

It is a perfect power (a square), and thus also a powerful number.

211733230715136 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 3 + 32 + 30 + 71 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31321483833600 + 180411746881536 = 5596560^2 + 13431744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211733230715091 and 211733230715100.

It is not an unprimeable number, because it can be changed into a prime (211733230715137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 81718729201 + ... + 81718731791.

Almost surely, 2^{211733230715136} is an apocalyptic number.

211733230715136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

211733230715136 is the 14551056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211733230715136

211733230715136 is an abundant number, since it is smaller than the sum of its proper divisors (474694194295821).

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

211733230715136 is an frugal number, since it uses more digits than its factorization.

211733230715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 211733230715136 in words is "two hundred eleven trillion, seven hundred thirty-three billion, two hundred thirty million, seven hundred fifteen thousand, one hundred thirty-six".