224801408122368 has 3840 divisors, whose sum is σ = 862582139781120. Its totient is φ = 51209625600000.

The previous prime is 224801408122331. The next prime is 224801408122391. The reversal of 224801408122368 is 863221804108422.

It is a super-2 number, since 2×224801408122368² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224801408122368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1488751047093 + ... + 1488751047243.

It is an arithmetic number, because the mean of its divisors is an integer number (224630765568).

Almost surely, 2^{224801408122368} is an apocalyptic number.

224801408122368 is a gapful number since it is divisible by the number (28) 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 224801408122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431291069890560).

224801408122368 is an abundant number, since it is smaller than the sum of its proper divisors (637780731658752).

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

224801408122368 is a wasteful number, since it uses less digits than its factorization.

224801408122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 224801408122368 in words is "two hundred twenty-four trillion, eight hundred one billion, four hundred eight million, one hundred twenty-two thousand, three hundred sixty-eight".