381204005952 has 224 divisors, whose sum is σ = 1331448330240. Its totient is φ = 93189611520.

The previous prime is 381204005951. The next prime is 381204005953. The reversal of 381204005952 is 259500402183.

It is an interprime number because it is at equal distance from previous prime (381204005951) and next prime (381204005953).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 381204005952.

It is not an unprimeable number, because it can be changed into a prime (381204005951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507052 + ... + 1009707.

It is an arithmetic number, because the mean of its divisors is an integer number (5943965760).

Almost surely, 2^381204005952 is an apocalyptic number.

381204005952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381204005952 is an abundant number, since it is smaller than the sum of its proper divisors (950244324288).

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

381204005952 is a wasteful number, since it uses less digits than its factorization.

381204005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516809 (or 1516799 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 381204005952 in words is "three hundred eighty-one billion, two hundred four million, five thousand, nine hundred fifty-two".