284953213104 has 240 divisors, whose sum is σ = 931194694368. Its totient is φ = 74554712064.

The previous prime is 284953213099. The next prime is 284953213147. The reversal of 284953213104 is 401312359482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383102 + ... + 1575714.

Almost surely, 2^284953213104 is an apocalyptic number.

284953213104 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 284953213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465597347184).

284953213104 is an abundant number, since it is smaller than the sum of its proper divisors (646241481264).

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

284953213104 is a wasteful number, since it uses less digits than its factorization.

284953213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192692 (or 192679 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 284953213104 in words is "two hundred eighty-four billion, nine hundred fifty-three million, two hundred thirteen thousand, one hundred four".