284196952704 has 256 divisors, whose sum is σ = 901597224960. Its totient is φ = 77552640000.

The previous prime is 284196952649. The next prime is 284196952717. The reversal of 284196952704 is 407259691482.

It is a super-2 number, since 2×284196952704² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46426764 + ... + 46432884.

It is an arithmetic number, because the mean of its divisors is an integer number (3521864160).

Almost surely, 2^284196952704 is an apocalyptic number.

284196952704 is a gapful number since it is divisible by the number (24) 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 284196952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450798612480).

284196952704 is an abundant number, since it is smaller than the sum of its proper divisors (617400272256).

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

284196952704 is a wasteful number, since it uses less digits than its factorization.

284196952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 284196952704 in words is "two hundred eighty-four billion, one hundred ninety-six million, nine hundred fifty-two thousand, seven hundred four".