11349033171840 has 2560 divisors, whose sum is σ = 52974312652800. Its totient is φ = 2248374288384.

The previous prime is 11349033171829. The next prime is 11349033171863. The reversal of 11349033171840 is 4817133094311.

11349033171840 is a `hidden beast` number, since 1 + 13 + 490 + 3 + 3 + 1 + 71 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11383182222 + ... + 11383183218.

It is an arithmetic number, because the mean of its divisors is an integer number (20693090880).

Almost surely, 2^{11349033171840} is an apocalyptic number.

11349033171840 is a gapful number since it is divisible by the number (10) 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 11349033171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26487156326400).

11349033171840 is an abundant number, since it is smaller than the sum of its proper divisors (41625279480960).

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

11349033171840 is a wasteful number, since it uses less digits than its factorization.

11349033171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11349033171840 in words is "eleven trillion, three hundred forty-nine billion, thirty-three million, one hundred seventy-one thousand, eight hundred forty".