22460611146144 has 96 divisors (see below), whose sum is σ = 60923956617216. Its totient is φ = 7237864892160.

The previous prime is 22460611146109. The next prime is 22460611146187. The reversal of 22460611146144 is 44164111606422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22460611146096 and 22460611146105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024612 + ... + 6780195.

It is an arithmetic number, because the mean of its divisors is an integer number (634624548096).

Almost surely, 2^{22460611146144} is an apocalyptic number.

22460611146144 is a gapful number since it is divisible by the number (24) 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 22460611146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30461978308608).

22460611146144 is an abundant number, since it is smaller than the sum of its proper divisors (38463345471072).

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

22460611146144 is a wasteful number, since it uses less digits than its factorization.

22460611146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805818 (or 7805810 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22460611146144 in words is "twenty-two trillion, four hundred sixty billion, six hundred eleven million, one hundred forty-six thousand, one hundred forty-four".