19468097388096 has 112 divisors (see below), whose sum is σ = 59176027545600. Its totient is φ = 5533191406080.

The previous prime is 19468097388071. The next prime is 19468097388163. The reversal of 19468097388096 is 69088379086491.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×19468097388096⁴ (a number of 54 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37662646 + ... + 38176053.

It is an arithmetic number, because the mean of its divisors is an integer number (528357388800).

Almost surely, 2^{19468097388096} is an apocalyptic number.

19468097388096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19468097388096 is an abundant number, since it is smaller than the sum of its proper divisors (39707930157504).

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

19468097388096 is a wasteful number, since it uses less digits than its factorization.

19468097388096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75838912 (or 75838902 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 78.

The spelling of 19468097388096 in words is "nineteen trillion, four hundred sixty-eight billion, ninety-seven million, three hundred eighty-eight thousand, ninety-six".