19005137145456 has 1440 divisors, whose sum is σ = 68080242585600. Its totient is φ = 4538380492800.

The previous prime is 19005137145437. The next prime is 19005137145473. The reversal of 19005137145456 is 65454173150091.

It is a super-2 number, since 2×19005137145456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19005137145399 and 19005137145408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46467327780 + ... + 46467328188.

It is an arithmetic number, because the mean of its divisors is an integer number (47277946240).

Almost surely, 2^{19005137145456} is an apocalyptic number.

19005137145456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19005137145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34040121292800).

19005137145456 is an abundant number, since it is smaller than the sum of its proper divisors (49075105440144).

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

19005137145456 is a wasteful number, since it uses less digits than its factorization.

19005137145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 19005137145456 in words is "nineteen trillion, five billion, one hundred thirty-seven million, one hundred forty-five thousand, four hundred fifty-six".