11234586874368 has 960 divisors, whose sum is σ = 37011531110400. Its totient is φ = 3004298035200.

The previous prime is 11234586874363. The next prime is 11234586874393. The reversal of 11234586874368 is 86347868543211.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11234586874299 and 11234586874308.

It is not an unprimeable number, because it can be changed into a prime (11234586874363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7637379873 + ... + 7637381343.

It is an arithmetic number, because the mean of its divisors is an integer number (38553678240).

Almost surely, 2^{11234586874368} 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 11234586874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505765555200).

11234586874368 is an abundant number, since it is smaller than the sum of its proper divisors (25776944236032).

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

11234586874368 is a wasteful number, since it uses less digits than its factorization.

11234586874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1638 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 11234586874368 in words is "eleven trillion, two hundred thirty-four billion, five hundred eighty-six million, eight hundred seventy-four thousand, three hundred sixty-eight".