1948497724996 has 81 divisors (see below), whose sum is σ = 3625919500567. Its totient is φ = 916147899520.

The previous prime is 1948497724991. The next prime is 1948497725099. The reversal of 1948497724996 is 6994277948491.

The square root of 1948497724996 is 1395886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 514539374596 + 1433958350400 = 717314^2 + 1197480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1948497724991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3319416615 + ... + 3319417201.

Almost surely, 2^{1948497724996} is an apocalyptic number.

1948497724996 is the 1395886-th square number.

It is an amenable number.

1948497724996 is a deficient number, since it is larger than the sum of its proper divisors (1677421775571).

1948497724996 is an frugal number, since it uses more digits than its factorization.

1948497724996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 659 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 79.

The spelling of 1948497724996 in words is "one trillion, nine hundred forty-eight billion, four hundred ninety-seven million, seven hundred twenty-four thousand, nine hundred ninety-six".