11222369868864 has 448 divisors, whose sum is σ = 37336986796032. Its totient is φ = 2889987072000.

The previous prime is 11222369868803. The next prime is 11222369868949. The reversal of 11222369868864 is 46886896322211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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 = 11222369868795 and 11222369868804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853340689 + ... + 853353839.

It is an arithmetic number, because the mean of its divisors is an integer number (83341488384).

Almost surely, 2^{11222369868864} is an apocalyptic number.

11222369868864 is a gapful number since it is divisible by the number (14) 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 11222369868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668493398016).

11222369868864 is an abundant number, since it is smaller than the sum of its proper divisors (26114616927168).

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

11222369868864 is a wasteful number, since it uses less digits than its factorization.

11222369868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 13664 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 66.

The spelling of 11222369868864 in words is "eleven trillion, two hundred twenty-two billion, three hundred sixty-nine million, eight hundred sixty-eight thousand, eight hundred sixty-four".