1948632953120 has 192 divisors, whose sum is σ = 5473805008896. Its totient is φ = 641458621440.

The previous prime is 1948632953077. The next prime is 1948632953159. The reversal of 1948632953120 is 213592368491.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4188479 + ... + 4630401.

It is an arithmetic number, because the mean of its divisors is an integer number (28509401088).

Almost surely, 2^{1948632953120} is an apocalyptic number.

1948632953120 is a gapful number since it is divisible by the number (10) 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 1948632953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736902504448).

1948632953120 is an abundant number, since it is smaller than the sum of its proper divisors (3525172055776).

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

1948632953120 is a wasteful number, since it uses less digits than its factorization.

1948632953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442103 (or 442095 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 1948632953120 in words is "one trillion, nine hundred forty-eight billion, six hundred thirty-two million, nine hundred fifty-three thousand, one hundred twenty".