283952148480 has 2912 divisors, whose sum is σ = 1443901616640. Its totient is φ = 51597803520.

The previous prime is 283952148457. The next prime is 283952148521. The reversal of 283952148480 is 84841259382.

283952148480 is a `hidden beast` number, since 2 + 8 + 39 + 52 + 1 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14944849911 + ... + 14944849929.

Almost surely, 2^283952148480 is an apocalyptic number.

283952148480 is a gapful number since it is divisible by the number (20) 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 283952148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721950808320).

283952148480 is an abundant number, since it is smaller than the sum of its proper divisors (1159949468160).

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

283952148480 is a wasteful number, since it uses less digits than its factorization.

283952148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 283952148480 in words is "two hundred eighty-three billion, nine hundred fifty-two million, one hundred forty-eight thousand, four hundred eighty".