22766400180048 has 240 divisors, whose sum is σ = 69960351715200. Its totient is φ = 6248897187840.

The previous prime is 22766400179891. The next prime is 22766400180089. The reversal of 22766400180048 is 84008100466722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22766400179979 and 22766400180006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43979428 + ... + 44494076.

It is an arithmetic number, because the mean of its divisors is an integer number (291501465480).

Almost surely, 2^{22766400180048} is an apocalyptic number.

22766400180048 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 22766400180048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980175857600).

22766400180048 is an abundant number, since it is smaller than the sum of its proper divisors (47193951535152).

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

22766400180048 is a wasteful number, since it uses less digits than its factorization.

22766400180048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514866 (or 514829 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 22766400180048 in words is "twenty-two trillion, seven hundred sixty-six billion, four hundred million, one hundred eighty thousand, forty-eight".