22729032144 has 120 divisors (see below), whose sum is σ = 78288933632. Its totient is φ = 5994466560.

The previous prime is 22729032121. The next prime is 22729032173. The reversal of 22729032144 is 44123092722.

It is a happy number.

22729032144 is a `hidden beast` number, since 2 + 2 + 7 + 290 + 321 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22729032099 and 22729032108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854152 + ... + 880359.

Almost surely, 2^22729032144 is an apocalyptic number.

22729032144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22729032144 is an abundant number, since it is smaller than the sum of its proper divisors (55559901488).

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

22729032144 is a wasteful number, since it uses less digits than its factorization.

22729032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734545 (or 1734536 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22729032144 in words is "twenty-two billion, seven hundred twenty-nine million, thirty-two thousand, one hundred forty-four".