13866158009088 has 3456 divisors, whose sum is σ = 57981837312000. Its totient is φ = 3218890752000.

The previous prime is 13866158009029. The next prime is 13866158009113. The reversal of 13866158009088 is 88090085166831.

13866158009088 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 615 + 8 + 0 + 0 + 9 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155799528148 + ... + 155799528236.

It is an arithmetic number, because the mean of its divisors is an integer number (16777152000).

Almost surely, 2^{13866158009088} is an apocalyptic number.

13866158009088 is a gapful number since it is divisible by the number (18) 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 13866158009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28990918656000).

13866158009088 is an abundant number, since it is smaller than the sum of its proper divisors (44115679302912).

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

13866158009088 is a wasteful number, since it uses less digits than its factorization.

13866158009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 13866158009088 in words is "thirteen trillion, eight hundred sixty-six billion, one hundred fifty-eight million, nine thousand, eighty-eight".