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18408656448 = 26327131773283
BaseRepresentation
bin10001001001001111…
…011100111001000000
31202111221010122021200
4101021033130321000
5300200104001243
612242401221200
71221116666220
oct211117347100
952457118250
1018408656448
117897230066
123699031800
131974ab3030
14c68c06080
1572b1cbad3
hex4493dce40

18408656448 has 672 divisors, whose sum is σ = 69949990656. Its totient is φ = 4490919936.

The previous prime is 18408656381. The next prime is 18408656491. The reversal of 18408656448 is 84465680481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 18408656394 and 18408656403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65048115 + ... + 65048397.

It is an arithmetic number, because the mean of its divisors is an integer number (104092248).

Almost surely, 218408656448 is an apocalyptic number.

18408656448 is a gapful number since it is divisible by the number (18) 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 18408656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34974995328).

18408656448 is an abundant number, since it is smaller than the sum of its proper divisors (51541334208).

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

18408656448 is a wasteful number, since it uses less digits than its factorization.

18408656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18408656448 in words is "eighteen billion, four hundred eight million, six hundred fifty-six thousand, four hundred forty-eight".