11849103638400 has 1152 divisors, whose sum is σ = 48368172988800. Its totient is φ = 2534748733440.

The previous prime is 11849103638353. The next prime is 11849103638401. The reversal of 11849103638400 is 483630194811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11849103638400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11849103638401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 741812814 + ... + 741828786.

It is an arithmetic number, because the mean of its divisors is an integer number (41986261275).

Almost surely, 2^{11849103638400} is an apocalyptic number.

11849103638400 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 11849103638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24184086494400).

11849103638400 is an abundant number, since it is smaller than the sum of its proper divisors (36519069350400).

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

11849103638400 is a wasteful number, since it uses less digits than its factorization.

11849103638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116 (or 16092 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

It can be divided in two parts, 11849103 and 638400, that added together give a triangular number (12487503 = T₄₉₉₇).

The spelling of 11849103638400 in words is "eleven trillion, eight hundred forty-nine billion, one hundred three million, six hundred thirty-eight thousand, four hundred".