1226164469760 has 1088 divisors, whose sum is σ = 4643059104000. Its totient is φ = 310351233024.

The previous prime is 1226164469749. The next prime is 1226164469797. The reversal of 1226164469760 is 679644616221.

1226164469760 is a `hidden beast` number, since 1 + 2 + 2 + 61 + 64 + 469 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1226164469697 and 1226164469706.

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, 20782448611 + ... + 20782448669.

Almost surely, 2^{1226164469760} is an apocalyptic number.

1226164469760 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 1226164469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321529552000).

1226164469760 is an abundant number, since it is smaller than the sum of its proper divisors (3416894634240).

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

1226164469760 is an frugal number, since it uses more digits than its factorization.

1226164469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1226164469760 in words is "one trillion, two hundred twenty-six billion, one hundred sixty-four million, four hundred sixty-nine thousand, seven hundred sixty".