384355251552 has 96 divisors (see below), whose sum is σ = 1020832630272. Its totient is φ = 126612440064.

The previous prime is 384355251521. The next prime is 384355251583. The reversal of 384355251552 is 255152553483.

It is an interprime number because it is at equal distance from previous prime (384355251521) and next prime (384355251583).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4775548 + ... + 4855364.

It is an arithmetic number, because the mean of its divisors is an integer number (10633673232).

Almost surely, 2^384355251552 is an apocalyptic number.

384355251552 is a gapful number since it is divisible by the number (32) 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 384355251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510416315136).

384355251552 is an abundant number, since it is smaller than the sum of its proper divisors (636477378720).

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

384355251552 is a wasteful number, since it uses less digits than its factorization.

384355251552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80420 (or 80412 counting only the distinct ones).

The product of its digits is 3600000, while the sum is 48.

The spelling of 384355251552 in words is "three hundred eighty-four billion, three hundred fifty-five million, two hundred fifty-one thousand, five hundred fifty-two".