264242212416 has 1344 divisors, whose sum is σ = 1053732126720. Its totient is φ = 63691038720.

The previous prime is 264242212393. The next prime is 264242212427. The reversal of 264242212416 is 614212242462.

264242212416 is a `hidden beast` number, since 2 + 6 + 4 + 24 + 2 + 212 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 833571490 + ... + 833571806.

It is an arithmetic number, because the mean of its divisors is an integer number (784026880).

Almost surely, 2^264242212416 is an apocalyptic number.

264242212416 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 264242212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526866063360).

264242212416 is an abundant number, since it is smaller than the sum of its proper divisors (789489914304).

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

264242212416 is a wasteful number, since it uses less digits than its factorization.

264242212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 264242212416 its reverse (614212242462), we get a palindrome (878454454878).

The spelling of 264242212416 in words is "two hundred sixty-four billion, two hundred forty-two million, two hundred twelve thousand, four hundred sixteen".