1948962466872 has 48 divisors (see below), whose sum is σ = 5279503685040. Its totient is φ = 649523242368.

The previous prime is 1948962466859. The next prime is 1948962466883. The reversal of 1948962466872 is 2786642698491.

1948962466872 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 96 + 2 + 466 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1948962466872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2367253 + ... + 3082500.

It is an arithmetic number, because the mean of its divisors is an integer number (109989660105).

Almost surely, 2^{1948962466872} is an apocalyptic number.

1948962466872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1948962466872 is an abundant number, since it is smaller than the sum of its proper divisors (3330541218168).

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

1948962466872 is a wasteful number, since it uses less digits than its factorization.

1948962466872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454732 (or 5454725 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 1948962466872 in words is "one trillion, nine hundred forty-eight billion, nine hundred sixty-two million, four hundred sixty-six thousand, eight hundred seventy-two".