19048468898976 has 96 divisors (see below), whose sum is σ = 57756587571648. Its totient is φ = 5432718397440.

The previous prime is 19048468898971. The next prime is 19048468898981. The reversal of 19048468898976 is 67989886484091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19048468898971) and next prime (19048468898981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 19048468898892 and 19048468898901.

It is not an unprimeable number, because it can be changed into a prime (19048468898971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 530520955 + ... + 530556858.

It is an arithmetic number, because the mean of its divisors is an integer number (601631120538).

Almost surely, 2^{19048468898976} is an apocalyptic number.

19048468898976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19048468898976 is an abundant number, since it is smaller than the sum of its proper divisors (38708118672672).

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

19048468898976 is a wasteful number, since it uses less digits than its factorization.

19048468898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061077854 (or 1061077846 counting only the distinct ones).

The product of its (nonzero) digits is 12039487488, while the sum is 87.

The spelling of 19048468898976 in words is "nineteen trillion, forty-eight billion, four hundred sixty-eight million, eight hundred ninety-eight thousand, nine hundred seventy-six".