4313225251104 has 768 divisors, whose sum is σ = 14552619024384. Its totient is φ = 1086375628800.

The previous prime is 4313225251057. The next prime is 4313225251133. The reversal of 4313225251104 is 4011525223134.

It is a super-2 number, since 2×4313225251104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10864547034 + ... + 10864547430.

It is an arithmetic number, because the mean of its divisors is an integer number (18948722688).

Almost surely, 2^{4313225251104} is an apocalyptic number.

4313225251104 is a gapful number since it is divisible by the number (44) 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 4313225251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276309512192).

4313225251104 is an abundant number, since it is smaller than the sum of its proper divisors (10239393773280).

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

4313225251104 is a wasteful number, since it uses less digits than its factorization.

4313225251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 4313225251104 in words is "four trillion, three hundred thirteen billion, two hundred twenty-five million, two hundred fifty-one thousand, one hundred four".