1226424346576 has 320 divisors, whose sum is σ = 2959250595840. Its totient is φ = 484662528000.

The previous prime is 1226424346559. The next prime is 1226424346579. The reversal of 1226424346576 is 6756434246221.

It is a Smith number, since the sum of its digits (52) 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 (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226424346579) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155913086 + ... + 1155914146.

It is an arithmetic number, because the mean of its divisors is an integer number (9247658112).

Almost surely, 2^{1226424346576} is an apocalyptic number.

1226424346576 is a gapful number since it is divisible by the number (16) 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 1226424346576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479625297920).

1226424346576 is an abundant number, since it is smaller than the sum of its proper divisors (1732826249264).

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

1226424346576 is a wasteful number, since it uses less digits than its factorization.

1226424346576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 52.

The spelling of 1226424346576 in words is "one trillion, two hundred twenty-six billion, four hundred twenty-four million, three hundred forty-six thousand, five hundred seventy-six".