285411226218048 has 1344 divisors, whose sum is σ = 1017364167106560. Its totient is φ = 77614479065088.

The previous prime is 285411226217959. The next prime is 285411226218137. The reversal of 285411226218048 is 840812622114582.

285411226218048 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 1 + 1 + 2 + 2 + 621 + 8 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (285411226217959) and next prime (285411226218137).

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

It is a super-2 number, since 2×285411226218048² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 285411226217985 and 285411226218003.

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, 75766185061 + ... + 75766188827.

It is an arithmetic number, because the mean of its divisors is an integer number (756967386240).

Almost surely, 2^{285411226218048} is an apocalyptic number.

285411226218048 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 285411226218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508682083553280).

285411226218048 is an abundant number, since it is smaller than the sum of its proper divisors (731952940888512).

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

285411226218048 is a wasteful number, since it uses less digits than its factorization.

285411226218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 285411226218048 in words is "two hundred eighty-five trillion, four hundred eleven billion, two hundred twenty-six million, two hundred eighteen thousand, forty-eight".