21968818958548 has 288 divisors, whose sum is σ = 52588996927488. Its totient is φ = 7917359788800.

The previous prime is 21968818958521. The next prime is 21968818958621. The reversal of 21968818958548 is 84585981886912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2562554790 + ... + 2562563362.

It is an arithmetic number, because the mean of its divisors is an integer number (182600683776).

Almost surely, 2^{21968818958548} is an apocalyptic number.

21968818958548 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 21968818958548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294498463744).

21968818958548 is an abundant number, since it is smaller than the sum of its proper divisors (30620177968940).

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

21968818958548 is a wasteful number, since it uses less digits than its factorization.

21968818958548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10314 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 82.

The spelling of 21968818958548 in words is "twenty-one trillion, nine hundred sixty-eight billion, eight hundred eighteen million, nine hundred fifty-eight thousand, five hundred forty-eight".