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18946431768888 = 23351353107132199
BaseRepresentation
bin1000100111011010011110…
…10101011101100100111000
32111002021001101221222200000
410103231033111131210320
54440404243013101023
6104143512014313000
73663556145561631
oct423551725354470
974067041858600
1018946431768888
11604515588a268
12215bb417b8760
13a75843c3c530
14497025644888
1522cc90891243
hex113b4f55d938

18946431768888 has 384 divisors, whose sum is σ = 58934506176000. Its totient is φ = 5666179723776.

The previous prime is 18946431768877. The next prime is 18946431768917. The reversal of 18946431768888 is 88886713464981.

It is a happy number.

18946431768888 is a `hidden beast` number, since 1 + 8 + 9 + 46 + 431 + 7 + 68 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 143251413 + ... + 143383611.

It is an arithmetic number, because the mean of its divisors is an integer number (153475276500).

Almost surely, 218946431768888 is an apocalyptic number.

18946431768888 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 18946431768888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467253088000).

18946431768888 is an abundant number, since it is smaller than the sum of its proper divisors (39988074407112).

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

18946431768888 is a wasteful number, since it uses less digits than its factorization.

18946431768888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132393 (or 132377 counting only the distinct ones).

The product of its digits is 3567255552, while the sum is 81.

The spelling of 18946431768888 in words is "eighteen trillion, nine hundred forty-six billion, four hundred thirty-one million, seven hundred sixty-eight thousand, eight hundred eighty-eight".