1948978088928 has 120 divisors (see below), whose sum is σ = 6172805175768. Its totient is φ = 599685555456.

The previous prime is 1948978088887. The next prime is 1948978088977. The reversal of 1948978088928 is 8298808798491.

It is a super-2 number, since 2×1948978088928² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28886326 + ... + 28953717.

Almost surely, 2^{1948978088928} is an apocalyptic number.

1948978088928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1948978088928 is an abundant number, since it is smaller than the sum of its proper divisors (4223827086840).

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

1948978088928 is a wasteful number, since it uses less digits than its factorization.

1948978088928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57840078 (or 57840061 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 81.

The spelling of 1948978088928 in words is "one trillion, nine hundred forty-eight billion, nine hundred seventy-eight million, eighty-eight thousand, nine hundred twenty-eight".