1948332572420 has 72 divisors (see below), whose sum is σ = 4552951099032. Its totient is φ = 696178298880.

The previous prime is 1948332572399. The next prime is 1948332572429. The reversal of 1948332572420 is 242752338491.

It can be written as a sum of positive squares in 4 ways, for example, as 12845048896 + 1935487523524 = 113336^2 + 1391218^2 .

It is not an unprimeable number, because it can be changed into a prime (1948332572429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3648989 + ... + 4148708.

It is an arithmetic number, because the mean of its divisors is an integer number (63235431931).

Almost surely, 2^{1948332572420} is an apocalyptic number.

1948332572420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948332572420 is an abundant number, since it is smaller than the sum of its proper divisors (2604618526612).

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

1948332572420 is a wasteful number, since it uses less digits than its factorization.

1948332572420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797781 (or 7797748 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 1948332572420 in words is "one trillion, nine hundred forty-eight billion, three hundred thirty-two million, five hundred seventy-two thousand, four hundred twenty".