1952384964096 has 480 divisors, whose sum is σ = 6184735223040. Its totient is φ = 545573683200.

The previous prime is 1952384964077. The next prime is 1952384964139. The reversal of 1952384964096 is 6904694832591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700029070 + ... + 700031858.

It is an arithmetic number, because the mean of its divisors is an integer number (12884865048).

Almost surely, 2^{1952384964096} is an apocalyptic number.

1952384964096 is a gapful number since it is divisible by the number (16) 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 1952384964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092367611520).

1952384964096 is an abundant number, since it is smaller than the sum of its proper divisors (4232350258944).

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

1952384964096 is a wasteful number, since it uses less digits than its factorization.

1952384964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 1952384964096 in words is "one trillion, nine hundred fifty-two billion, three hundred eighty-four million, nine hundred sixty-four thousand, ninety-six".