22348445343840 has 1152 divisors, whose sum is σ = 101269526012928. Its totient is φ = 4518301409280.

The previous prime is 22348445343769. The next prime is 22348445343907. The reversal of 22348445343840 is 4834354484322.

22348445343840 is a `hidden beast` number, since 2 + 2 + 3 + 484 + 45 + 3 + 43 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110668242 + ... + 110869998.

It is an arithmetic number, because the mean of its divisors is an integer number (87907574664).

Almost surely, 2^{22348445343840} is an apocalyptic number.

22348445343840 is a gapful number since it is divisible by the number (20) 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 22348445343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50634763006464).

22348445343840 is an abundant number, since it is smaller than the sum of its proper divisors (78921080669088).

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

22348445343840 is a wasteful number, since it uses less digits than its factorization.

22348445343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201842 (or 201822 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 22348445343840 in words is "twenty-two trillion, three hundred forty-eight billion, four hundred forty-five million, three hundred forty-three thousand, eight hundred forty".