1952189796648 has 512 divisors, whose sum is σ = 6356847329280. Its totient is φ = 485844480000.

The previous prime is 1952189796643. The next prime is 1952189796677. The reversal of 1952189796648 is 8466979812591.

It is a super-2 number, since 2×1952189796648² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1952189796648.

It is not an unprimeable number, because it can be changed into a prime (1952189796643) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 458150838 + ... + 458155098.

It is an arithmetic number, because the mean of its divisors is an integer number (12415717440).

Almost surely, 2^{1952189796648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952189796648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178423664640).

1952189796648 is an abundant number, since it is smaller than the sum of its proper divisors (4404657532632).

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

1952189796648 is a wasteful number, since it uses less digits than its factorization.

1952189796648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4485 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 75.

The spelling of 1952189796648 in words is "one trillion, nine hundred fifty-two billion, one hundred eighty-nine million, seven hundred ninety-six thousand, six hundred forty-eight".