1954209596328 has 192 divisors, whose sum is σ = 5889341390400. Its totient is φ = 580359536640.

The previous prime is 1954209596327. The next prime is 1954209596377. The reversal of 1954209596328 is 8236959024591.

1954209596328 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 2 + 0 + 9 + 596 + 32 + 8 = 666.

It is a super-2 number, since 2×1954209596328² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1954209596321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38046568 + ... + 38097896.

It is an arithmetic number, because the mean of its divisors is an integer number (30673653075).

Almost surely, 2^{1954209596328} is an apocalyptic number.

1954209596328 is a gapful number since it is divisible by the number (18) 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 1954209596328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944670695200).

1954209596328 is an abundant number, since it is smaller than the sum of its proper divisors (3935131794072).

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

1954209596328 is a wasteful number, since it uses less digits than its factorization.

1954209596328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52312 (or 52305 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1954209596328 in words is "one trillion, nine hundred fifty-four billion, two hundred nine million, five hundred ninety-six thousand, three hundred twenty-eight".