1948850426460 has 384 divisors, whose sum is σ = 6767473950720. Its totient is φ = 408944480256.

The previous prime is 1948850426429. The next prime is 1948850426489. The reversal of 1948850426460 is 646240588491.

It is a self number, because there is not a number n which added to its sum of digits gives 1948850426460.

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 127 ways as a sum of consecutive naturals, for example, 46796167 + ... + 46837793.

It is an arithmetic number, because the mean of its divisors is an integer number (17623630080).

Almost surely, 2^{1948850426460} is an apocalyptic number.

1948850426460 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 1948850426460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383736975360).

1948850426460 is an abundant number, since it is smaller than the sum of its proper divisors (4818623524260).

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

1948850426460 is a wasteful number, since it uses less digits than its factorization.

1948850426460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41825 (or 41823 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 1948850426460 in words is "one trillion, nine hundred forty-eight billion, eight hundred fifty million, four hundred twenty-six thousand, four hundred sixty".