13845362777088 has 352 divisors, whose sum is σ = 39303909212160. Its totient is φ = 4324043243520.

The previous prime is 13845362777033. The next prime is 13845362777089. The reversal of 13845362777088 is 88077726354831.

13845362777088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845362777089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708881883 + ... + 708901413.

Almost surely, 2^{13845362777088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13845362777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651954606080).

13845362777088 is an abundant number, since it is smaller than the sum of its proper divisors (25458546435072).

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

13845362777088 is a wasteful number, since it uses less digits than its factorization.

13845362777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 69.

The spelling of 13845362777088 in words is "thirteen trillion, eight hundred forty-five billion, three hundred sixty-two million, seven hundred seventy-seven thousand, eighty-eight".